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Finding the Third Proportional to 367,058 and 812,727

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Solution

The third proportional to 367,058 and 812,727 is: 1,799,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,058 : 812,727 = 812,727 : x
  2. Step 2: Convert to fraction form
    367,058/812,727 = 812,727/x
  3. Step 3: Cross multiply
    367,058x = 812,727 × 812,727
  4. Step 4: Simplify right side
    367,058x = 660,525,176,529
  5. Step 5: Solve for x
    x = 660,525,176,529/367,058
  6. Step 6: Final answer
    x = 1,799,511.73

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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.