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Finding the Third Proportional to 303,876 and 564,382

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Solution

The third proportional to 303,876 and 564,382 is: 1,048,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,876 : 564,382 = 564,382 : x
  2. Step 2: Convert to fraction form
    303,876/564,382 = 564,382/x
  3. Step 3: Cross multiply
    303,876x = 564,382 × 564,382
  4. Step 4: Simplify right side
    303,876x = 318,527,041,924
  5. Step 5: Solve for x
    x = 318,527,041,924/303,876
  6. Step 6: Final answer
    x = 1,048,213.88

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.