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Finding the Third Proportional to 293,024 and 439,344

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Solution

The third proportional to 293,024 and 439,344 is: 658,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,024 : 439,344 = 439,344 : x
  2. Step 2: Convert to fraction form
    293,024/439,344 = 439,344/x
  3. Step 3: Cross multiply
    293,024x = 439,344 × 439,344
  4. Step 4: Simplify right side
    293,024x = 193,023,150,336
  5. Step 5: Solve for x
    x = 193,023,150,336/293,024
  6. Step 6: Final answer
    x = 658,728.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.