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Finding the Third Proportional to 557,705.25 and 886,372.88

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Solution

The third proportional to 557,705.25 and 886,372.88 is: 1,408,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,705.25 : 886,372.88 = 886,372.88 : x
  2. Step 2: Convert to fraction form
    557,705.25/886,372.88 = 886,372.88/x
  3. Step 3: Cross multiply
    557,705.25x = 886,372.88 × 886,372.88
  4. Step 4: Simplify right side
    557,705.25x = 785,656,873,535.77
  5. Step 5: Solve for x
    x = 785,656,873,535.77/557,705.25
  6. Step 6: Final answer
    x = 1,408,731.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.