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Finding the Third Proportional to 317,098 and 464,270

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Solution

The third proportional to 317,098 and 464,270 is: 679,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,098 : 464,270 = 464,270 : x
  2. Step 2: Convert to fraction form
    317,098/464,270 = 464,270/x
  3. Step 3: Cross multiply
    317,098x = 464,270 × 464,270
  4. Step 4: Simplify right side
    317,098x = 215,546,632,900
  5. Step 5: Solve for x
    x = 215,546,632,900/317,098
  6. Step 6: Final answer
    x = 679,747.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.