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Finding the Third Proportional to 367,060 and 812,731

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Solution

The third proportional to 367,060 and 812,731 is: 1,799,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,060 : 812,731 = 812,731 : x
  2. Step 2: Convert to fraction form
    367,060/812,731 = 812,731/x
  3. Step 3: Cross multiply
    367,060x = 812,731 × 812,731
  4. Step 4: Simplify right side
    367,060x = 660,531,678,361
  5. Step 5: Solve for x
    x = 660,531,678,361/367,060
  6. Step 6: Final answer
    x = 1,799,519.64

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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.