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Finding the Third Proportional to 274,499 and 594,817

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Solution

The third proportional to 274,499 and 594,817 is: 1,288,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,499 : 594,817 = 594,817 : x
  2. Step 2: Convert to fraction form
    274,499/594,817 = 594,817/x
  3. Step 3: Cross multiply
    274,499x = 594,817 × 594,817
  4. Step 4: Simplify right side
    274,499x = 353,807,263,489
  5. Step 5: Solve for x
    x = 353,807,263,489/274,499
  6. Step 6: Final answer
    x = 1,288,920.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.