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Finding the Third Proportional to 359,864 and 769,555

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Solution

The third proportional to 359,864 and 769,555 is: 1,645,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,864 : 769,555 = 769,555 : x
  2. Step 2: Convert to fraction form
    359,864/769,555 = 769,555/x
  3. Step 3: Cross multiply
    359,864x = 769,555 × 769,555
  4. Step 4: Simplify right side
    359,864x = 592,214,898,025
  5. Step 5: Solve for x
    x = 592,214,898,025/359,864
  6. Step 6: Final answer
    x = 1,645,663.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.