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Finding the Third Proportional to 312,652 and 484,422

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Solution

The third proportional to 312,652 and 484,422 is: 750,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,652 : 484,422 = 484,422 : x
  2. Step 2: Convert to fraction form
    312,652/484,422 = 484,422/x
  3. Step 3: Cross multiply
    312,652x = 484,422 × 484,422
  4. Step 4: Simplify right side
    312,652x = 234,664,674,084
  5. Step 5: Solve for x
    x = 234,664,674,084/312,652
  6. Step 6: Final answer
    x = 750,561.88

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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.