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Finding the Third Proportional to 564,474 and 804,671

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Solution

The third proportional to 564,474 and 804,671 is: 1,147,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,474 : 804,671 = 804,671 : x
  2. Step 2: Convert to fraction form
    564,474/804,671 = 804,671/x
  3. Step 3: Cross multiply
    564,474x = 804,671 × 804,671
  4. Step 4: Simplify right side
    564,474x = 647,495,418,241
  5. Step 5: Solve for x
    x = 647,495,418,241/564,474
  6. Step 6: Final answer
    x = 1,147,077.49

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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.