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Finding the Third Proportional to 485,638 and 760,157

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Solution

The third proportional to 485,638 and 760,157 is: 1,189,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,638 : 760,157 = 760,157 : x
  2. Step 2: Convert to fraction form
    485,638/760,157 = 760,157/x
  3. Step 3: Cross multiply
    485,638x = 760,157 × 760,157
  4. Step 4: Simplify right side
    485,638x = 577,838,664,649
  5. Step 5: Solve for x
    x = 577,838,664,649/485,638
  6. Step 6: Final answer
    x = 1,189,854.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.