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Finding the Third Proportional to 474,214.50 and 711,328.50

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Solution

The third proportional to 474,214.50 and 711,328.50 is: 1,067,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,214.50 : 711,328.50 = 711,328.50 : x
  2. Step 2: Convert to fraction form
    474,214.50/711,328.50 = 711,328.50/x
  3. Step 3: Cross multiply
    474,214.50x = 711,328.50 × 711,328.50
  4. Step 4: Simplify right side
    474,214.50x = 505,988,234,912.25
  5. Step 5: Solve for x
    x = 505,988,234,912.25/474,214.50
  6. Step 6: Final answer
    x = 1,067,002.88

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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.