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Finding the Third Proportional to 354,884 and 564,382

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Solution

The third proportional to 354,884 and 564,382 is: 897,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,884 : 564,382 = 564,382 : x
  2. Step 2: Convert to fraction form
    354,884/564,382 = 564,382/x
  3. Step 3: Cross multiply
    354,884x = 564,382 × 564,382
  4. Step 4: Simplify right side
    354,884x = 318,527,041,924
  5. Step 5: Solve for x
    x = 318,527,041,924/354,884
  6. Step 6: Final answer
    x = 897,552.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.