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Finding the Third Proportional to 305,904 and 466,632

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Solution

The third proportional to 305,904 and 466,632 is: 711,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,904 : 466,632 = 466,632 : x
  2. Step 2: Convert to fraction form
    305,904/466,632 = 466,632/x
  3. Step 3: Cross multiply
    305,904x = 466,632 × 466,632
  4. Step 4: Simplify right side
    305,904x = 217,745,423,424
  5. Step 5: Solve for x
    x = 217,745,423,424/305,904
  6. Step 6: Final answer
    x = 711,809.66

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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.