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Finding the Third Proportional to 485,599.50 and 725,478.75

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Solution

The third proportional to 485,599.50 and 725,478.75 is: 1,083,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,599.50 : 725,478.75 = 725,478.75 : x
  2. Step 2: Convert to fraction form
    485,599.50/725,478.75 = 725,478.75/x
  3. Step 3: Cross multiply
    485,599.50x = 725,478.75 × 725,478.75
  4. Step 4: Simplify right side
    485,599.50x = 526,319,416,701.56
  5. Step 5: Solve for x
    x = 526,319,416,701.56/485,599.50
  6. Step 6: Final answer
    x = 1,083,854.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.