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Finding the Third Proportional to 287,049 and 628,818

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Solution

The third proportional to 287,049 and 628,818 is: 1,377,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,049 : 628,818 = 628,818 : x
  2. Step 2: Convert to fraction form
    287,049/628,818 = 628,818/x
  3. Step 3: Cross multiply
    287,049x = 628,818 × 628,818
  4. Step 4: Simplify right side
    287,049x = 395,412,077,124
  5. Step 5: Solve for x
    x = 395,412,077,124/287,049
  6. Step 6: Final answer
    x = 1,377,507.24

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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.