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Finding the Third Proportional to 480,887.50 and 747,581.75

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Solution

The third proportional to 480,887.50 and 747,581.75 is: 1,162,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,887.50 : 747,581.75 = 747,581.75 : x
  2. Step 2: Convert to fraction form
    480,887.50/747,581.75 = 747,581.75/x
  3. Step 3: Cross multiply
    480,887.50x = 747,581.75 × 747,581.75
  4. Step 4: Simplify right side
    480,887.50x = 558,878,472,933.06
  5. Step 5: Solve for x
    x = 558,878,472,933.06/480,887.50
  6. Step 6: Final answer
    x = 1,162,181.33

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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.