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Finding the Third Proportional to 432,313 and 690,629

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Solution

The third proportional to 432,313 and 690,629 is: 1,103,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,313 : 690,629 = 690,629 : x
  2. Step 2: Convert to fraction form
    432,313/690,629 = 690,629/x
  3. Step 3: Cross multiply
    432,313x = 690,629 × 690,629
  4. Step 4: Simplify right side
    432,313x = 476,968,415,641
  5. Step 5: Solve for x
    x = 476,968,415,641/432,313
  6. Step 6: Final answer
    x = 1,103,294.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.