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Finding the Third Proportional to 506,215.13 and 711,960.75

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Solution

The third proportional to 506,215.13 and 711,960.75 is: 1,001,329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,215.13 : 711,960.75 = 711,960.75 : x
  2. Step 2: Convert to fraction form
    506,215.13/711,960.75 = 711,960.75/x
  3. Step 3: Cross multiply
    506,215.13x = 711,960.75 × 711,960.75
  4. Step 4: Simplify right side
    506,215.13x = 506,888,109,540.56
  5. Step 5: Solve for x
    x = 506,888,109,540.56/506,215.13
  6. Step 6: Final answer
    x = 1,001,329.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.