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Finding the Third Proportional to 305,416 and 466,022

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Solution

The third proportional to 305,416 and 466,022 is: 711,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,416 : 466,022 = 466,022 : x
  2. Step 2: Convert to fraction form
    305,416/466,022 = 466,022/x
  3. Step 3: Cross multiply
    305,416x = 466,022 × 466,022
  4. Step 4: Simplify right side
    305,416x = 217,176,504,484
  5. Step 5: Solve for x
    x = 217,176,504,484/305,416
  6. Step 6: Final answer
    x = 711,084.24

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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.