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Finding the Third Proportional to 474,223.50 and 711,353.25

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Solution

The third proportional to 474,223.50 and 711,353.25 is: 1,067,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,223.50 : 711,353.25 = 711,353.25 : x
  2. Step 2: Convert to fraction form
    474,223.50/711,353.25 = 711,353.25/x
  3. Step 3: Cross multiply
    474,223.50x = 711,353.25 × 711,353.25
  4. Step 4: Simplify right side
    474,223.50x = 506,023,446,285.56
  5. Step 5: Solve for x
    x = 506,023,446,285.56/474,223.50
  6. Step 6: Final answer
    x = 1,067,056.88

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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.