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Finding the Third Proportional to 550,708 and 775,494

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Solution

The third proportional to 550,708 and 775,494 is: 1,092,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,708 : 775,494 = 775,494 : x
  2. Step 2: Convert to fraction form
    550,708/775,494 = 775,494/x
  3. Step 3: Cross multiply
    550,708x = 775,494 × 775,494
  4. Step 4: Simplify right side
    550,708x = 601,390,944,036
  5. Step 5: Solve for x
    x = 601,390,944,036/550,708
  6. Step 6: Final answer
    x = 1,092,032.34

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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.