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Finding the Third Proportional to 314,934 and 478,233

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Solution

The third proportional to 314,934 and 478,233 is: 726,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,934 : 478,233 = 478,233 : x
  2. Step 2: Convert to fraction form
    314,934/478,233 = 478,233/x
  3. Step 3: Cross multiply
    314,934x = 478,233 × 478,233
  4. Step 4: Simplify right side
    314,934x = 228,706,802,289
  5. Step 5: Solve for x
    x = 228,706,802,289/314,934
  6. Step 6: Final answer
    x = 726,205.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.