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Finding the Third Proportional to 466,395.75 and 720,209.25

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Solution

The third proportional to 466,395.75 and 720,209.25 is: 1,112,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,395.75 : 720,209.25 = 720,209.25 : x
  2. Step 2: Convert to fraction form
    466,395.75/720,209.25 = 720,209.25/x
  3. Step 3: Cross multiply
    466,395.75x = 720,209.25 × 720,209.25
  4. Step 4: Simplify right side
    466,395.75x = 518,701,363,785.56
  5. Step 5: Solve for x
    x = 518,701,363,785.56/466,395.75
  6. Step 6: Final answer
    x = 1,112,148.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.