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Finding the Third Proportional to 465,480 and 664,410.75

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Solution

The third proportional to 465,480 and 664,410.75 is: 948,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,480 : 664,410.75 = 664,410.75 : x
  2. Step 2: Convert to fraction form
    465,480/664,410.75 = 664,410.75/x
  3. Step 3: Cross multiply
    465,480x = 664,410.75 × 664,410.75
  4. Step 4: Simplify right side
    465,480x = 441,441,644,715.56
  5. Step 5: Solve for x
    x = 441,441,644,715.56/465,480
  6. Step 6: Final answer
    x = 948,357.92

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.