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Finding the Third Proportional to 564,709 and 804,976

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Solution

The third proportional to 564,709 and 804,976 is: 1,147,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,709 : 804,976 = 804,976 : x
  2. Step 2: Convert to fraction form
    564,709/804,976 = 804,976/x
  3. Step 3: Cross multiply
    564,709x = 804,976 × 804,976
  4. Step 4: Simplify right side
    564,709x = 647,986,360,576
  5. Step 5: Solve for x
    x = 647,986,360,576/564,709
  6. Step 6: Final answer
    x = 1,147,469.51

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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.