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Finding the Third Proportional to 359,982 and 773,386

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Solution

The third proportional to 359,982 and 773,386 is: 1,661,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,982 : 773,386 = 773,386 : x
  2. Step 2: Convert to fraction form
    359,982/773,386 = 773,386/x
  3. Step 3: Cross multiply
    359,982x = 773,386 × 773,386
  4. Step 4: Simplify right side
    359,982x = 598,125,904,996
  5. Step 5: Solve for x
    x = 598,125,904,996/359,982
  6. Step 6: Final answer
    x = 1,661,543.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.