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Finding the Third Proportional to 466,386.75 and 720,195.75

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Solution

The third proportional to 466,386.75 and 720,195.75 is: 1,112,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,386.75 : 720,195.75 = 720,195.75 : x
  2. Step 2: Convert to fraction form
    466,386.75/720,195.75 = 720,195.75/x
  3. Step 3: Cross multiply
    466,386.75x = 720,195.75 × 720,195.75
  4. Step 4: Simplify right side
    466,386.75x = 518,681,918,318.06
  5. Step 5: Solve for x
    x = 518,681,918,318.06/466,386.75
  6. Step 6: Final answer
    x = 1,112,128.33

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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.