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Finding the Third Proportional to 550,650 and 775,448

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Solution

The third proportional to 550,650 and 775,448 is: 1,092,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,650 : 775,448 = 775,448 : x
  2. Step 2: Convert to fraction form
    550,650/775,448 = 775,448/x
  3. Step 3: Cross multiply
    550,650x = 775,448 × 775,448
  4. Step 4: Simplify right side
    550,650x = 601,319,600,704
  5. Step 5: Solve for x
    x = 601,319,600,704/550,650
  6. Step 6: Final answer
    x = 1,092,017.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.