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Finding the Third Proportional to 287,017 and 625,704

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Solution

The third proportional to 287,017 and 625,704 is: 1,364,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,017 : 625,704 = 625,704 : x
  2. Step 2: Convert to fraction form
    287,017/625,704 = 625,704/x
  3. Step 3: Cross multiply
    287,017x = 625,704 × 625,704
  4. Step 4: Simplify right side
    287,017x = 391,505,495,616
  5. Step 5: Solve for x
    x = 391,505,495,616/287,017
  6. Step 6: Final answer
    x = 1,364,049.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.