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Finding the Third Proportional to 280,035 and 614,502

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Solution

The third proportional to 280,035 and 614,502 is: 1,348,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,035 : 614,502 = 614,502 : x
  2. Step 2: Convert to fraction form
    280,035/614,502 = 614,502/x
  3. Step 3: Cross multiply
    280,035x = 614,502 × 614,502
  4. Step 4: Simplify right side
    280,035x = 377,612,708,004
  5. Step 5: Solve for x
    x = 377,612,708,004/280,035
  6. Step 6: Final answer
    x = 1,348,448.26

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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.