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Finding the Third Proportional to 310,299,673.50 and 658,425,172.50

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Solution

The third proportional to 310,299,673.50 and 658,425,172.50 is: 1,397,113,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,299,673.50 : 658,425,172.50 = 658,425,172.50 : x
  2. Step 2: Convert to fraction form
    310,299,673.50/658,425,172.50 = 658,425,172.50/x
  3. Step 3: Cross multiply
    310,299,673.50x = 658,425,172.50 × 658,425,172.50
  4. Step 4: Simplify right side
    310,299,673.50x = 433,523,707,781,654,784
  5. Step 5: Solve for x
    x = 433,523,707,781,654,784/310,299,673.50
  6. Step 6: Final answer
    x = 1,397,113,000.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.