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Finding the Third Proportional to 297,096 and 487,708

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Solution

The third proportional to 297,096 and 487,708 is: 800,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,096 : 487,708 = 487,708 : x
  2. Step 2: Convert to fraction form
    297,096/487,708 = 487,708/x
  3. Step 3: Cross multiply
    297,096x = 487,708 × 487,708
  4. Step 4: Simplify right side
    297,096x = 237,859,093,264
  5. Step 5: Solve for x
    x = 237,859,093,264/297,096
  6. Step 6: Final answer
    x = 800,613.58

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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.