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Finding the Third Proportional to 564,478 and 804,677

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Solution

The third proportional to 564,478 and 804,677 is: 1,147,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,478 : 804,677 = 804,677 : x
  2. Step 2: Convert to fraction form
    564,478/804,677 = 804,677/x
  3. Step 3: Cross multiply
    564,478x = 804,677 × 804,677
  4. Step 4: Simplify right side
    564,478x = 647,505,074,329
  5. Step 5: Solve for x
    x = 647,505,074,329/564,478
  6. Step 6: Final answer
    x = 1,147,086.47

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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.