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Finding the Third Proportional to 225,046.69 and 531,246.94

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Solution

The third proportional to 225,046.69 and 531,246.94 is: 1,254,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,046.69 : 531,246.94 = 531,246.94 : x
  2. Step 2: Convert to fraction form
    225,046.69/531,246.94 = 531,246.94/x
  3. Step 3: Cross multiply
    225,046.69x = 531,246.94 × 531,246.94
  4. Step 4: Simplify right side
    225,046.69x = 282,223,308,603.13
  5. Step 5: Solve for x
    x = 282,223,308,603.13/225,046.69
  6. Step 6: Final answer
    x = 1,254,065.60

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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.