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Finding the Third Proportional to 482,816 and 709,432

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Solution

The third proportional to 482,816 and 709,432 is: 1,042,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,816 : 709,432 = 709,432 : x
  2. Step 2: Convert to fraction form
    482,816/709,432 = 709,432/x
  3. Step 3: Cross multiply
    482,816x = 709,432 × 709,432
  4. Step 4: Simplify right side
    482,816x = 503,293,762,624
  5. Step 5: Solve for x
    x = 503,293,762,624/482,816
  6. Step 6: Final answer
    x = 1,042,413.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.