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Finding the Third Proportional to 550,641.38 and 775,436.63

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Solution

The third proportional to 550,641.38 and 775,436.63 is: 1,092,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,641.38 : 775,436.63 = 775,436.63 : x
  2. Step 2: Convert to fraction form
    550,641.38/775,436.63 = 775,436.63/x
  3. Step 3: Cross multiply
    550,641.38x = 775,436.63 × 775,436.63
  4. Step 4: Simplify right side
    550,641.38x = 601,301,959,391.39
  5. Step 5: Solve for x
    x = 601,301,959,391.39/550,641.38
  6. Step 6: Final answer
    x = 1,092,002.87

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.