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Finding the Third Proportional to 317,728 and 698,424

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Solution

The third proportional to 317,728 and 698,424 is: 1,535,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,728 : 698,424 = 698,424 : x
  2. Step 2: Convert to fraction form
    317,728/698,424 = 698,424/x
  3. Step 3: Cross multiply
    317,728x = 698,424 × 698,424
  4. Step 4: Simplify right side
    317,728x = 487,796,083,776
  5. Step 5: Solve for x
    x = 487,796,083,776/317,728
  6. Step 6: Final answer
    x = 1,535,263.13

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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.