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Finding the Third Proportional to 352,499 and 723,663

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Solution

The third proportional to 352,499 and 723,663 is: 1,485,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,499 : 723,663 = 723,663 : x
  2. Step 2: Convert to fraction form
    352,499/723,663 = 723,663/x
  3. Step 3: Cross multiply
    352,499x = 723,663 × 723,663
  4. Step 4: Simplify right side
    352,499x = 523,688,137,569
  5. Step 5: Solve for x
    x = 523,688,137,569/352,499
  6. Step 6: Final answer
    x = 1,485,644.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.