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Finding the Third Proportional to 310,959 and 466,458.75

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Solution

The third proportional to 310,959 and 466,458.75 is: 699,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,959 : 466,458.75 = 466,458.75 : x
  2. Step 2: Convert to fraction form
    310,959/466,458.75 = 466,458.75/x
  3. Step 3: Cross multiply
    310,959x = 466,458.75 × 466,458.75
  4. Step 4: Simplify right side
    310,959x = 217,583,765,451.56
  5. Step 5: Solve for x
    x = 217,583,765,451.56/310,959
  6. Step 6: Final answer
    x = 699,718.50

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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.