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Finding the Third Proportional to 274,506 and 594,831

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Solution

The third proportional to 274,506 and 594,831 is: 1,288,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,506 : 594,831 = 594,831 : x
  2. Step 2: Convert to fraction form
    274,506/594,831 = 594,831/x
  3. Step 3: Cross multiply
    274,506x = 594,831 × 594,831
  4. Step 4: Simplify right side
    274,506x = 353,823,918,561
  5. Step 5: Solve for x
    x = 353,823,918,561/274,506
  6. Step 6: Final answer
    x = 1,288,947.85

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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.