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Finding the Third Proportional to 244,257.94 and 530,293.13

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Solution

The third proportional to 244,257.94 and 530,293.13 is: 1,151,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,257.94 : 530,293.13 = 530,293.13 : x
  2. Step 2: Convert to fraction form
    244,257.94/530,293.13 = 530,293.13/x
  3. Step 3: Cross multiply
    244,257.94x = 530,293.13 × 530,293.13
  4. Step 4: Simplify right side
    244,257.94x = 281,210,798,422.27
  5. Step 5: Solve for x
    x = 281,210,798,422.27/244,257.94
  6. Step 6: Final answer
    x = 1,151,286.22

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Why These Related Problems?

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