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Finding the Third Proportional to 225,004.71 and 492,040.83

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Solution

The third proportional to 225,004.71 and 492,040.83 is: 1,075,996.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,004.71 : 492,040.83 = 492,040.83 : x
  2. Step 2: Convert to fraction form
    225,004.71/492,040.83 = 492,040.83/x
  3. Step 3: Cross multiply
    225,004.71x = 492,040.83 × 492,040.83
  4. Step 4: Simplify right side
    225,004.71x = 242,104,176,541.94
  5. Step 5: Solve for x
    x = 242,104,176,541.94/225,004.71
  6. Step 6: Final answer
    x = 1,075,996.03

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