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Finding the Third Proportional to 725,074.50 and 1,120,417.50

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Solution

The third proportional to 725,074.50 and 1,120,417.50 is: 1,731,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,074.50 : 1,120,417.50 = 1,120,417.50 : x
  2. Step 2: Convert to fraction form
    725,074.50/1,120,417.50 = 1,120,417.50/x
  3. Step 3: Cross multiply
    725,074.50x = 1,120,417.50 × 1,120,417.50
  4. Step 4: Simplify right side
    725,074.50x = 1,255,335,374,306.25
  5. Step 5: Solve for x
    x = 1,255,335,374,306.25/725,074.50
  6. Step 6: Final answer
    x = 1,731,319.16

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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.