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Finding the Third Proportional to 310,875.75 and 466,317

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Solution

The third proportional to 310,875.75 and 466,317 is: 699,480.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,875.75 : 466,317 = 466,317 : x
  2. Step 2: Convert to fraction form
    310,875.75/466,317 = 466,317/x
  3. Step 3: Cross multiply
    310,875.75x = 466,317 × 466,317
  4. Step 4: Simplify right side
    310,875.75x = 217,451,544,489
  5. Step 5: Solve for x
    x = 217,451,544,489/310,875.75
  6. Step 6: Final answer
    x = 699,480.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.