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Finding the Third Proportional to 225,925.50 and 486,843

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Solution

The third proportional to 225,925.50 and 486,843 is: 1,049,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,925.50 : 486,843 = 486,843 : x
  2. Step 2: Convert to fraction form
    225,925.50/486,843 = 486,843/x
  3. Step 3: Cross multiply
    225,925.50x = 486,843 × 486,843
  4. Step 4: Simplify right side
    225,925.50x = 237,016,106,649
  5. Step 5: Solve for x
    x = 237,016,106,649/225,925.50
  6. Step 6: Final answer
    x = 1,049,089.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.