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Finding the Third Proportional to 550,644 and 775,439.63

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Solution

The third proportional to 550,644 and 775,439.63 is: 1,092,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,644 : 775,439.63 = 775,439.63 : x
  2. Step 2: Convert to fraction form
    550,644/775,439.63 = 775,439.63/x
  3. Step 3: Cross multiply
    550,644x = 775,439.63 × 775,439.63
  4. Step 4: Simplify right side
    550,644x = 601,306,612,020.14
  5. Step 5: Solve for x
    x = 601,306,612,020.14/550,644
  6. Step 6: Final answer
    x = 1,092,006.11

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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.