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Finding the Third Proportional to 280,040 and 614,514

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Solution

The third proportional to 280,040 and 614,514 is: 1,348,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,040 : 614,514 = 614,514 : x
  2. Step 2: Convert to fraction form
    280,040/614,514 = 614,514/x
  3. Step 3: Cross multiply
    280,040x = 614,514 × 614,514
  4. Step 4: Simplify right side
    280,040x = 377,627,456,196
  5. Step 5: Solve for x
    x = 377,627,456,196/280,040
  6. Step 6: Final answer
    x = 1,348,476.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.