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Finding the Third Proportional to 276,612 and 563,370

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Solution

The third proportional to 276,612 and 563,370 is: 1,147,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,612 : 563,370 = 563,370 : x
  2. Step 2: Convert to fraction form
    276,612/563,370 = 563,370/x
  3. Step 3: Cross multiply
    276,612x = 563,370 × 563,370
  4. Step 4: Simplify right side
    276,612x = 317,385,756,900
  5. Step 5: Solve for x
    x = 317,385,756,900/276,612
  6. Step 6: Final answer
    x = 1,147,404.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.