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Finding the Third Proportional to 367,068 and 812,747

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Solution

The third proportional to 367,068 and 812,747 is: 1,799,551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,068 : 812,747 = 812,747 : x
  2. Step 2: Convert to fraction form
    367,068/812,747 = 812,747/x
  3. Step 3: Cross multiply
    367,068x = 812,747 × 812,747
  4. Step 4: Simplify right side
    367,068x = 660,557,686,009
  5. Step 5: Solve for x
    x = 660,557,686,009/367,068
  6. Step 6: Final answer
    x = 1,799,551.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.