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Finding the Third Proportional to 367,033 and 534,571

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Solution

The third proportional to 367,033 and 534,571 is: 778,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,033 : 534,571 = 534,571 : x
  2. Step 2: Convert to fraction form
    367,033/534,571 = 534,571/x
  3. Step 3: Cross multiply
    367,033x = 534,571 × 534,571
  4. Step 4: Simplify right side
    367,033x = 285,766,154,041
  5. Step 5: Solve for x
    x = 285,766,154,041/367,033
  6. Step 6: Final answer
    x = 778,584.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.