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Finding the Third Proportional to 557,684.25 and 752,447.25

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Solution

The third proportional to 557,684.25 and 752,447.25 is: 1,015,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,684.25 : 752,447.25 = 752,447.25 : x
  2. Step 2: Convert to fraction form
    557,684.25/752,447.25 = 752,447.25/x
  3. Step 3: Cross multiply
    557,684.25x = 752,447.25 × 752,447.25
  4. Step 4: Simplify right side
    557,684.25x = 566,176,864,032.56
  5. Step 5: Solve for x
    x = 566,176,864,032.56/557,684.25
  6. Step 6: Final answer
    x = 1,015,228.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.