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Finding the Third Proportional to 375,671 and 563,669

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Solution

The third proportional to 375,671 and 563,669 is: 845,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,671 : 563,669 = 563,669 : x
  2. Step 2: Convert to fraction form
    375,671/563,669 = 563,669/x
  3. Step 3: Cross multiply
    375,671x = 563,669 × 563,669
  4. Step 4: Simplify right side
    375,671x = 317,722,741,561
  5. Step 5: Solve for x
    x = 317,722,741,561/375,671
  6. Step 6: Final answer
    x = 845,747.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.