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Finding the Third Proportional to 480,848.06 and 747,500.91

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Solution

The third proportional to 480,848.06 and 747,500.91 is: 1,162,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,848.06 : 747,500.91 = 747,500.91 : x
  2. Step 2: Convert to fraction form
    480,848.06/747,500.91 = 747,500.91/x
  3. Step 3: Cross multiply
    480,848.06x = 747,500.91 × 747,500.91
  4. Step 4: Simplify right side
    480,848.06x = 558,757,604,844.57
  5. Step 5: Solve for x
    x = 558,757,604,844.57/480,848.06
  6. Step 6: Final answer
    x = 1,162,025.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.