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Finding the Third Proportional to 225,443.25 and 486,364.50

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Solution

The third proportional to 225,443.25 and 486,364.50 is: 1,049,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,443.25 : 486,364.50 = 486,364.50 : x
  2. Step 2: Convert to fraction form
    225,443.25/486,364.50 = 486,364.50/x
  3. Step 3: Cross multiply
    225,443.25x = 486,364.50 × 486,364.50
  4. Step 4: Simplify right side
    225,443.25x = 236,550,426,860.25
  5. Step 5: Solve for x
    x = 236,550,426,860.25/225,443.25
  6. Step 6: Final answer
    x = 1,049,268.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.