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Finding the Third Proportional to 317,095 and 464,266

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Solution

The third proportional to 317,095 and 464,266 is: 679,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,095 : 464,266 = 464,266 : x
  2. Step 2: Convert to fraction form
    317,095/464,266 = 464,266/x
  3. Step 3: Cross multiply
    317,095x = 464,266 × 464,266
  4. Step 4: Simplify right side
    317,095x = 215,542,918,756
  5. Step 5: Solve for x
    x = 215,542,918,756/317,095
  6. Step 6: Final answer
    x = 679,742.41

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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.