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Finding the Third Proportional to 361,755 and 775,998

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Solution

The third proportional to 361,755 and 775,998 is: 1,664,587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,755 : 775,998 = 775,998 : x
  2. Step 2: Convert to fraction form
    361,755/775,998 = 775,998/x
  3. Step 3: Cross multiply
    361,755x = 775,998 × 775,998
  4. Step 4: Simplify right side
    361,755x = 602,172,896,004
  5. Step 5: Solve for x
    x = 602,172,896,004/361,755
  6. Step 6: Final answer
    x = 1,664,587.62

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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.