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Finding the Third Proportional to 305,416 and 466,021

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Solution

The third proportional to 305,416 and 466,021 is: 711,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,416 : 466,021 = 466,021 : x
  2. Step 2: Convert to fraction form
    305,416/466,021 = 466,021/x
  3. Step 3: Cross multiply
    305,416x = 466,021 × 466,021
  4. Step 4: Simplify right side
    305,416x = 217,175,572,441
  5. Step 5: Solve for x
    x = 217,175,572,441/305,416
  6. Step 6: Final answer
    x = 711,081.19

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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.