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Finding the Third Proportional to 375,926 and 563,769

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Solution

The third proportional to 375,926 and 563,769 is: 845,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,926 : 563,769 = 563,769 : x
  2. Step 2: Convert to fraction form
    375,926/563,769 = 563,769/x
  3. Step 3: Cross multiply
    375,926x = 563,769 × 563,769
  4. Step 4: Simplify right side
    375,926x = 317,835,485,361
  5. Step 5: Solve for x
    x = 317,835,485,361/375,926
  6. Step 6: Final answer
    x = 845,473.54

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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.