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Finding the Third Proportional to 375,924 and 563,766

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Solution

The third proportional to 375,924 and 563,766 is: 845,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,924 : 563,766 = 563,766 : x
  2. Step 2: Convert to fraction form
    375,924/563,766 = 563,766/x
  3. Step 3: Cross multiply
    375,924x = 563,766 × 563,766
  4. Step 4: Simplify right side
    375,924x = 317,832,102,756
  5. Step 5: Solve for x
    x = 317,832,102,756/375,924
  6. Step 6: Final answer
    x = 845,469.04

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