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Finding the Third Proportional to 225,065.25 and 491,953.50

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Solution

The third proportional to 225,065.25 and 491,953.50 is: 1,075,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,065.25 : 491,953.50 = 491,953.50 : x
  2. Step 2: Convert to fraction form
    225,065.25/491,953.50 = 491,953.50/x
  3. Step 3: Cross multiply
    225,065.25x = 491,953.50 × 491,953.50
  4. Step 4: Simplify right side
    225,065.25x = 242,018,246,162.25
  5. Step 5: Solve for x
    x = 242,018,246,162.25/225,065.25
  6. Step 6: Final answer
    x = 1,075,324.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.