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Finding the Third Proportional to 305,864 and 466,572

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Solution

The third proportional to 305,864 and 466,572 is: 711,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,864 : 466,572 = 466,572 : x
  2. Step 2: Convert to fraction form
    305,864/466,572 = 466,572/x
  3. Step 3: Cross multiply
    305,864x = 466,572 × 466,572
  4. Step 4: Simplify right side
    305,864x = 217,689,431,184
  5. Step 5: Solve for x
    x = 217,689,431,184/305,864
  6. Step 6: Final answer
    x = 711,719.69

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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.