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Finding the Third Proportional to 280,200 and 601,872

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Solution

The third proportional to 280,200 and 601,872 is: 1,292,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,200 : 601,872 = 601,872 : x
  2. Step 2: Convert to fraction form
    280,200/601,872 = 601,872/x
  3. Step 3: Cross multiply
    280,200x = 601,872 × 601,872
  4. Step 4: Simplify right side
    280,200x = 362,249,904,384
  5. Step 5: Solve for x
    x = 362,249,904,384/280,200
  6. Step 6: Final answer
    x = 1,292,826.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.