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Finding the Third Proportional to 310,384.50 and 665,044.50

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Solution

The third proportional to 310,384.50 and 665,044.50 is: 1,424,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,384.50 : 665,044.50 = 665,044.50 : x
  2. Step 2: Convert to fraction form
    310,384.50/665,044.50 = 665,044.50/x
  3. Step 3: Cross multiply
    310,384.50x = 665,044.50 × 665,044.50
  4. Step 4: Simplify right side
    310,384.50x = 442,284,186,980.25
  5. Step 5: Solve for x
    x = 442,284,186,980.25/310,384.50
  6. Step 6: Final answer
    x = 1,424,955.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.