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Finding the Third Proportional to 359,764 and 773,957

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Solution

The third proportional to 359,764 and 773,957 is: 1,665,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,764 : 773,957 = 773,957 : x
  2. Step 2: Convert to fraction form
    359,764/773,957 = 773,957/x
  3. Step 3: Cross multiply
    359,764x = 773,957 × 773,957
  4. Step 4: Simplify right side
    359,764x = 599,009,437,849
  5. Step 5: Solve for x
    x = 599,009,437,849/359,764
  6. Step 6: Final answer
    x = 1,665,006.61

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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.