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Finding the Third Proportional to 297,017 and 487,596

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Solution

The third proportional to 297,017 and 487,596 is: 800,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,017 : 487,596 = 487,596 : x
  2. Step 2: Convert to fraction form
    297,017/487,596 = 487,596/x
  3. Step 3: Cross multiply
    297,017x = 487,596 × 487,596
  4. Step 4: Simplify right side
    297,017x = 237,749,859,216
  5. Step 5: Solve for x
    x = 237,749,859,216/297,017
  6. Step 6: Final answer
    x = 800,458.76

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.