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Finding the Third Proportional to 466,758 and 720,868.50

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Solution

The third proportional to 466,758 and 720,868.50 is: 1,113,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,758 : 720,868.50 = 720,868.50 : x
  2. Step 2: Convert to fraction form
    466,758/720,868.50 = 720,868.50/x
  3. Step 3: Cross multiply
    466,758x = 720,868.50 × 720,868.50
  4. Step 4: Simplify right side
    466,758x = 519,651,394,292.25
  5. Step 5: Solve for x
    x = 519,651,394,292.25/466,758
  6. Step 6: Final answer
    x = 1,113,320.81

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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.