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Finding the Third Proportional to 354,886 and 564,385

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Solution

The third proportional to 354,886 and 564,385 is: 897,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,886 : 564,385 = 564,385 : x
  2. Step 2: Convert to fraction form
    354,886/564,385 = 564,385/x
  3. Step 3: Cross multiply
    354,886x = 564,385 × 564,385
  4. Step 4: Simplify right side
    354,886x = 318,530,428,225
  5. Step 5: Solve for x
    x = 318,530,428,225/354,886
  6. Step 6: Final answer
    x = 897,557.04

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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.