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Finding the Third Proportional to 500,006.25 and 762,311.25

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Solution

The third proportional to 500,006.25 and 762,311.25 is: 1,162,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,006.25 : 762,311.25 = 762,311.25 : x
  2. Step 2: Convert to fraction form
    500,006.25/762,311.25 = 762,311.25/x
  3. Step 3: Cross multiply
    500,006.25x = 762,311.25 × 762,311.25
  4. Step 4: Simplify right side
    500,006.25x = 581,118,441,876.56
  5. Step 5: Solve for x
    x = 581,118,441,876.56/500,006.25
  6. Step 6: Final answer
    x = 1,162,222.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.