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Finding the Third Proportional to 485,515.13 and 735,019.88

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Solution

The third proportional to 485,515.13 and 735,019.88 is: 1,112,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,515.13 : 735,019.88 = 735,019.88 : x
  2. Step 2: Convert to fraction form
    485,515.13/735,019.88 = 735,019.88/x
  3. Step 3: Cross multiply
    485,515.13x = 735,019.88 × 735,019.88
  4. Step 4: Simplify right side
    485,515.13x = 540,254,216,645.02
  5. Step 5: Solve for x
    x = 540,254,216,645.02/485,515.13
  6. Step 6: Final answer
    x = 1,112,744.36

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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.