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Finding the Third Proportional to 280,598 and 611,524

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Solution

The third proportional to 280,598 and 611,524 is: 1,332,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,598 : 611,524 = 611,524 : x
  2. Step 2: Convert to fraction form
    280,598/611,524 = 611,524/x
  3. Step 3: Cross multiply
    280,598x = 611,524 × 611,524
  4. Step 4: Simplify right side
    280,598x = 373,961,602,576
  5. Step 5: Solve for x
    x = 373,961,602,576/280,598
  6. Step 6: Final answer
    x = 1,332,730.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.