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Finding the Third Proportional to 305,214 and 466,893

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Solution

The third proportional to 305,214 and 466,893 is: 714,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,214 : 466,893 = 466,893 : x
  2. Step 2: Convert to fraction form
    305,214/466,893 = 466,893/x
  3. Step 3: Cross multiply
    305,214x = 466,893 × 466,893
  4. Step 4: Simplify right side
    305,214x = 217,989,073,449
  5. Step 5: Solve for x
    x = 217,989,073,449/305,214
  6. Step 6: Final answer
    x = 714,217.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.