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Finding the Third Proportional to 564,555 and 804,793

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Solution

The third proportional to 564,555 and 804,793 is: 1,147,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,555 : 804,793 = 804,793 : x
  2. Step 2: Convert to fraction form
    564,555/804,793 = 804,793/x
  3. Step 3: Cross multiply
    564,555x = 804,793 × 804,793
  4. Step 4: Simplify right side
    564,555x = 647,691,772,849
  5. Step 5: Solve for x
    x = 647,691,772,849/564,555
  6. Step 6: Final answer
    x = 1,147,260.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.