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Finding the Third Proportional to 366,156 and 791,533

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Solution

The third proportional to 366,156 and 791,533 is: 1,711,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,156 : 791,533 = 791,533 : x
  2. Step 2: Convert to fraction form
    366,156/791,533 = 791,533/x
  3. Step 3: Cross multiply
    366,156x = 791,533 × 791,533
  4. Step 4: Simplify right side
    366,156x = 626,524,490,089
  5. Step 5: Solve for x
    x = 626,524,490,089/366,156
  6. Step 6: Final answer
    x = 1,711,086.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.