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Finding the Third Proportional to 294,040.13 and 414,082.13

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Solution

The third proportional to 294,040.13 and 414,082.13 is: 583,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,040.13 : 414,082.13 = 414,082.13 : x
  2. Step 2: Convert to fraction form
    294,040.13/414,082.13 = 414,082.13/x
  3. Step 3: Cross multiply
    294,040.13x = 414,082.13 × 414,082.13
  4. Step 4: Simplify right side
    294,040.13x = 171,464,006,244.52
  5. Step 5: Solve for x
    x = 171,464,006,244.52/294,040.13
  6. Step 6: Final answer
    x = 583,131.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.