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Finding the Third Proportional to 488,899.13 and 755,493.75

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Solution

The third proportional to 488,899.13 and 755,493.75 is: 1,167,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,899.13 : 755,493.75 = 755,493.75 : x
  2. Step 2: Convert to fraction form
    488,899.13/755,493.75 = 755,493.75/x
  3. Step 3: Cross multiply
    488,899.13x = 755,493.75 × 755,493.75
  4. Step 4: Simplify right side
    488,899.13x = 570,770,806,289.06
  5. Step 5: Solve for x
    x = 570,770,806,289.06/488,899.13
  6. Step 6: Final answer
    x = 1,167,461.30

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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.