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Finding the Third Proportional to 280,094 and 614,612

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Solution

The third proportional to 280,094 and 614,612 is: 1,348,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,094 : 614,612 = 614,612 : x
  2. Step 2: Convert to fraction form
    280,094/614,612 = 614,612/x
  3. Step 3: Cross multiply
    280,094x = 614,612 × 614,612
  4. Step 4: Simplify right side
    280,094x = 377,747,910,544
  5. Step 5: Solve for x
    x = 377,747,910,544/280,094
  6. Step 6: Final answer
    x = 1,348,646.92

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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.