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Finding the Third Proportional to 332,208 and 711,468.75

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Solution

The third proportional to 332,208 and 711,468.75 is: 1,523,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,208 : 711,468.75 = 711,468.75 : x
  2. Step 2: Convert to fraction form
    332,208/711,468.75 = 711,468.75/x
  3. Step 3: Cross multiply
    332,208x = 711,468.75 × 711,468.75
  4. Step 4: Simplify right side
    332,208x = 506,187,782,226.56
  5. Step 5: Solve for x
    x = 506,187,782,226.56/332,208
  6. Step 6: Final answer
    x = 1,523,707.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.