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Finding the Third Proportional to 393,793.50 and 841,566

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Solution

The third proportional to 393,793.50 and 841,566 is: 1,798,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,793.50 : 841,566 = 841,566 : x
  2. Step 2: Convert to fraction form
    393,793.50/841,566 = 841,566/x
  3. Step 3: Cross multiply
    393,793.50x = 841,566 × 841,566
  4. Step 4: Simplify right side
    393,793.50x = 708,233,332,356
  5. Step 5: Solve for x
    x = 708,233,332,356/393,793.50
  6. Step 6: Final answer
    x = 1,798,489.14

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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.