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Finding the Third Proportional to 367,061 and 812,733

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Solution

The third proportional to 367,061 and 812,733 is: 1,799,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,061 : 812,733 = 812,733 : x
  2. Step 2: Convert to fraction form
    367,061/812,733 = 812,733/x
  3. Step 3: Cross multiply
    367,061x = 812,733 × 812,733
  4. Step 4: Simplify right side
    367,061x = 660,534,929,289
  5. Step 5: Solve for x
    x = 660,534,929,289/367,061
  6. Step 6: Final answer
    x = 1,799,523.59

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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.