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Finding the Third Proportional to 498,576.75 and 747,676.50

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Solution

The third proportional to 498,576.75 and 747,676.50 is: 1,121,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,576.75 : 747,676.50 = 747,676.50 : x
  2. Step 2: Convert to fraction form
    498,576.75/747,676.50 = 747,676.50/x
  3. Step 3: Cross multiply
    498,576.75x = 747,676.50 × 747,676.50
  4. Step 4: Simplify right side
    498,576.75x = 559,020,148,652.25
  5. Step 5: Solve for x
    x = 559,020,148,652.25/498,576.75
  6. Step 6: Final answer
    x = 1,121,231.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.