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Finding the Third Proportional to 225,686.25 and 490,252.50

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Solution

The third proportional to 225,686.25 and 490,252.50 is: 1,064,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,686.25 : 490,252.50 = 490,252.50 : x
  2. Step 2: Convert to fraction form
    225,686.25/490,252.50 = 490,252.50/x
  3. Step 3: Cross multiply
    225,686.25x = 490,252.50 × 490,252.50
  4. Step 4: Simplify right side
    225,686.25x = 240,347,513,756.25
  5. Step 5: Solve for x
    x = 240,347,513,756.25/225,686.25
  6. Step 6: Final answer
    x = 1,064,963.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.