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Finding the Third Proportional to 273,331 and 600,473

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Solution

The third proportional to 273,331 and 600,473 is: 1,319,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,331 : 600,473 = 600,473 : x
  2. Step 2: Convert to fraction form
    273,331/600,473 = 600,473/x
  3. Step 3: Cross multiply
    273,331x = 600,473 × 600,473
  4. Step 4: Simplify right side
    273,331x = 360,567,823,729
  5. Step 5: Solve for x
    x = 360,567,823,729/273,331
  6. Step 6: Final answer
    x = 1,319,161.84

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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.