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Finding the Third Proportional to 317,344 and 458,544

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Solution

The third proportional to 317,344 and 458,544 is: 662,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,344 : 458,544 = 458,544 : x
  2. Step 2: Convert to fraction form
    317,344/458,544 = 458,544/x
  3. Step 3: Cross multiply
    317,344x = 458,544 × 458,544
  4. Step 4: Simplify right side
    317,344x = 210,262,599,936
  5. Step 5: Solve for x
    x = 210,262,599,936/317,344
  6. Step 6: Final answer
    x = 662,569.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.