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Finding the Third Proportional to 638,087 and 988,500

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Solution

The third proportional to 638,087 and 988,500 is: 1,531,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,087 : 988,500 = 988,500 : x
  2. Step 2: Convert to fraction form
    638,087/988,500 = 988,500/x
  3. Step 3: Cross multiply
    638,087x = 988,500 × 988,500
  4. Step 4: Simplify right side
    638,087x = 977,132,250,000
  5. Step 5: Solve for x
    x = 977,132,250,000/638,087
  6. Step 6: Final answer
    x = 1,531,346.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.