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Finding the Third Proportional to 325,396 and 596,792

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Solution

The third proportional to 325,396 and 596,792 is: 1,094,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,396 : 596,792 = 596,792 : x
  2. Step 2: Convert to fraction form
    325,396/596,792 = 596,792/x
  3. Step 3: Cross multiply
    325,396x = 596,792 × 596,792
  4. Step 4: Simplify right side
    325,396x = 356,160,691,264
  5. Step 5: Solve for x
    x = 356,160,691,264/325,396
  6. Step 6: Final answer
    x = 1,094,545.39

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.