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Finding the Third Proportional to 324,414 and 711,981

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Solution

The third proportional to 324,414 and 711,981 is: 1,562,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,414 : 711,981 = 711,981 : x
  2. Step 2: Convert to fraction form
    324,414/711,981 = 711,981/x
  3. Step 3: Cross multiply
    324,414x = 711,981 × 711,981
  4. Step 4: Simplify right side
    324,414x = 506,916,944,361
  5. Step 5: Solve for x
    x = 506,916,944,361/324,414
  6. Step 6: Final answer
    x = 1,562,561.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.