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Finding the Third Proportional to 488,227.50 and 739,226.25

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Solution

The third proportional to 488,227.50 and 739,226.25 is: 1,119,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,227.50 : 739,226.25 = 739,226.25 : x
  2. Step 2: Convert to fraction form
    488,227.50/739,226.25 = 739,226.25/x
  3. Step 3: Cross multiply
    488,227.50x = 739,226.25 × 739,226.25
  4. Step 4: Simplify right side
    488,227.50x = 546,455,448,689.06
  5. Step 5: Solve for x
    x = 546,455,448,689.06/488,227.50
  6. Step 6: Final answer
    x = 1,119,263.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.