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Finding the Third Proportional to 280,019 and 614,470

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Solution

The third proportional to 280,019 and 614,470 is: 1,348,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,019 : 614,470 = 614,470 : x
  2. Step 2: Convert to fraction form
    280,019/614,470 = 614,470/x
  3. Step 3: Cross multiply
    280,019x = 614,470 × 614,470
  4. Step 4: Simplify right side
    280,019x = 377,573,380,900
  5. Step 5: Solve for x
    x = 377,573,380,900/280,019
  6. Step 6: Final answer
    x = 1,348,384.86

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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.