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Finding the Third Proportional to 393,833.81 and 611,001.56

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Solution

The third proportional to 393,833.81 and 611,001.56 is: 947,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,833.81 : 611,001.56 = 611,001.56 : x
  2. Step 2: Convert to fraction form
    393,833.81/611,001.56 = 611,001.56/x
  3. Step 3: Cross multiply
    393,833.81x = 611,001.56 × 611,001.56
  4. Step 4: Simplify right side
    393,833.81x = 373,322,909,377.44
  5. Step 5: Solve for x
    x = 373,322,909,377.44/393,833.81
  6. Step 6: Final answer
    x = 947,919.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.