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Finding the Third Proportional to 280,520 and 424,137

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Solution

The third proportional to 280,520 and 424,137 is: 641,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,520 : 424,137 = 424,137 : x
  2. Step 2: Convert to fraction form
    280,520/424,137 = 424,137/x
  3. Step 3: Cross multiply
    280,520x = 424,137 × 424,137
  4. Step 4: Simplify right side
    280,520x = 179,892,194,769
  5. Step 5: Solve for x
    x = 179,892,194,769/280,520
  6. Step 6: Final answer
    x = 641,281.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.