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Finding the Third Proportional to 454,744 and 688,460

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Solution

The third proportional to 454,744 and 688,460 is: 1,042,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,744 : 688,460 = 688,460 : x
  2. Step 2: Convert to fraction form
    454,744/688,460 = 688,460/x
  3. Step 3: Cross multiply
    454,744x = 688,460 × 688,460
  4. Step 4: Simplify right side
    454,744x = 473,977,171,600
  5. Step 5: Solve for x
    x = 473,977,171,600/454,744
  6. Step 6: Final answer
    x = 1,042,294.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.