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Finding the Third Proportional to 316,945 and 696,098

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Solution

The third proportional to 316,945 and 696,098 is: 1,528,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,945 : 696,098 = 696,098 : x
  2. Step 2: Convert to fraction form
    316,945/696,098 = 696,098/x
  3. Step 3: Cross multiply
    316,945x = 696,098 × 696,098
  4. Step 4: Simplify right side
    316,945x = 484,552,425,604
  5. Step 5: Solve for x
    x = 484,552,425,604/316,945
  6. Step 6: Final answer
    x = 1,528,821.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.