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Finding the Third Proportional to 258,778.13 and 563,118.75

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Solution

The third proportional to 258,778.13 and 563,118.75 is: 1,225,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,778.13 : 563,118.75 = 563,118.75 : x
  2. Step 2: Convert to fraction form
    258,778.13/563,118.75 = 563,118.75/x
  3. Step 3: Cross multiply
    258,778.13x = 563,118.75 × 563,118.75
  4. Step 4: Simplify right side
    258,778.13x = 317,102,726,601.56
  5. Step 5: Solve for x
    x = 317,102,726,601.56/258,778.13
  6. Step 6: Final answer
    x = 1,225,384.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.