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Finding the Third Proportional to 317,464 and 479,436

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Solution

The third proportional to 317,464 and 479,436 is: 724,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,464 : 479,436 = 479,436 : x
  2. Step 2: Convert to fraction form
    317,464/479,436 = 479,436/x
  3. Step 3: Cross multiply
    317,464x = 479,436 × 479,436
  4. Step 4: Simplify right side
    317,464x = 229,858,878,096
  5. Step 5: Solve for x
    x = 229,858,878,096/317,464
  6. Step 6: Final answer
    x = 724,047.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.