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Finding the Third Proportional to 367,034 and 808,571

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Solution

The third proportional to 367,034 and 808,571 is: 1,781,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,034 : 808,571 = 808,571 : x
  2. Step 2: Convert to fraction form
    367,034/808,571 = 808,571/x
  3. Step 3: Cross multiply
    367,034x = 808,571 × 808,571
  4. Step 4: Simplify right side
    367,034x = 653,787,062,041
  5. Step 5: Solve for x
    x = 653,787,062,041/367,034
  6. Step 6: Final answer
    x = 1,781,271.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.