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Finding the Third Proportional to 638,086.50 and 988,501.50

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Solution

The third proportional to 638,086.50 and 988,501.50 is: 1,531,352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,086.50 : 988,501.50 = 988,501.50 : x
  2. Step 2: Convert to fraction form
    638,086.50/988,501.50 = 988,501.50/x
  3. Step 3: Cross multiply
    638,086.50x = 988,501.50 × 988,501.50
  4. Step 4: Simplify right side
    638,086.50x = 977,135,215,502.25
  5. Step 5: Solve for x
    x = 977,135,215,502.25/638,086.50
  6. Step 6: Final answer
    x = 1,531,352.28

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