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Finding the Third Proportional to 584,132.25 and 883,992.75

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Solution

The third proportional to 584,132.25 and 883,992.75 is: 1,337,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,132.25 : 883,992.75 = 883,992.75 : x
  2. Step 2: Convert to fraction form
    584,132.25/883,992.75 = 883,992.75/x
  3. Step 3: Cross multiply
    584,132.25x = 883,992.75 × 883,992.75
  4. Step 4: Simplify right side
    584,132.25x = 781,443,182,052.56
  5. Step 5: Solve for x
    x = 781,443,182,052.56/584,132.25
  6. Step 6: Final answer
    x = 1,337,784.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.