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Finding the Third Proportional to 245,247.75 and 547,894.13

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Solution

The third proportional to 245,247.75 and 547,894.13 is: 1,224,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,247.75 : 547,894.13 = 547,894.13 : x
  2. Step 2: Convert to fraction form
    245,247.75/547,894.13 = 547,894.13/x
  3. Step 3: Cross multiply
    245,247.75x = 547,894.13 × 547,894.13
  4. Step 4: Simplify right side
    245,247.75x = 300,187,972,209.52
  5. Step 5: Solve for x
    x = 300,187,972,209.52/245,247.75
  6. Step 6: Final answer
    x = 1,224,019.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.