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Finding the Third Proportional to 501,039.50 and 1,181,565

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Solution

The third proportional to 501,039.50 and 1,181,565 is: 2,786,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,039.50 : 1,181,565 = 1,181,565 : x
  2. Step 2: Convert to fraction form
    501,039.50/1,181,565 = 1,181,565/x
  3. Step 3: Cross multiply
    501,039.50x = 1,181,565 × 1,181,565
  4. Step 4: Simplify right side
    501,039.50x = 1,396,095,849,225
  5. Step 5: Solve for x
    x = 1,396,095,849,225/501,039.50
  6. Step 6: Final answer
    x = 2,786,398.78

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.