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Finding the Third Proportional to 305,417 and 466,023

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Solution

The third proportional to 305,417 and 466,023 is: 711,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,417 : 466,023 = 466,023 : x
  2. Step 2: Convert to fraction form
    305,417/466,023 = 466,023/x
  3. Step 3: Cross multiply
    305,417x = 466,023 × 466,023
  4. Step 4: Simplify right side
    305,417x = 217,177,436,529
  5. Step 5: Solve for x
    x = 217,177,436,529/305,417
  6. Step 6: Final answer
    x = 711,084.96

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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.