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Finding the Third Proportional to 492,243.75 and 1,052,767.13

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Solution

The third proportional to 492,243.75 and 1,052,767.13 is: 2,251,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,243.75 : 1,052,767.13 = 1,052,767.13 : x
  2. Step 2: Convert to fraction form
    492,243.75/1,052,767.13 = 1,052,767.13/x
  3. Step 3: Cross multiply
    492,243.75x = 1,052,767.13 × 1,052,767.13
  4. Step 4: Simplify right side
    492,243.75x = 1,108,318,619,480.77
  5. Step 5: Solve for x
    x = 1,108,318,619,480.77/492,243.75
  6. Step 6: Final answer
    x = 2,251,564.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.