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Finding the Third Proportional to 557,502.75 and 886,099.50

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Solution

The third proportional to 557,502.75 and 886,099.50 is: 1,408,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,502.75 : 886,099.50 = 886,099.50 : x
  2. Step 2: Convert to fraction form
    557,502.75/886,099.50 = 886,099.50/x
  3. Step 3: Cross multiply
    557,502.75x = 886,099.50 × 886,099.50
  4. Step 4: Simplify right side
    557,502.75x = 785,172,323,900.25
  5. Step 5: Solve for x
    x = 785,172,323,900.25/557,502.75
  6. Step 6: Final answer
    x = 1,408,373.90

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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.