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Finding the Third Proportional to 359,980 and 773,382

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Solution

The third proportional to 359,980 and 773,382 is: 1,661,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,980 : 773,382 = 773,382 : x
  2. Step 2: Convert to fraction form
    359,980/773,382 = 773,382/x
  3. Step 3: Cross multiply
    359,980x = 773,382 × 773,382
  4. Step 4: Simplify right side
    359,980x = 598,119,717,924
  5. Step 5: Solve for x
    x = 598,119,717,924/359,980
  6. Step 6: Final answer
    x = 1,661,535.97

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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.