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Finding the Third Proportional to 280,554 and 597,754

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Solution

The third proportional to 280,554 and 597,754 is: 1,273,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,554 : 597,754 = 597,754 : x
  2. Step 2: Convert to fraction form
    280,554/597,754 = 597,754/x
  3. Step 3: Cross multiply
    280,554x = 597,754 × 597,754
  4. Step 4: Simplify right side
    280,554x = 357,309,844,516
  5. Step 5: Solve for x
    x = 357,309,844,516/280,554
  6. Step 6: Final answer
    x = 1,273,586.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.