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Finding the Third Proportional to 245,448 and 537,741

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Solution

The third proportional to 245,448 and 537,741 is: 1,178,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,448 : 537,741 = 537,741 : x
  2. Step 2: Convert to fraction form
    245,448/537,741 = 537,741/x
  3. Step 3: Cross multiply
    245,448x = 537,741 × 537,741
  4. Step 4: Simplify right side
    245,448x = 289,165,383,081
  5. Step 5: Solve for x
    x = 289,165,383,081/245,448
  6. Step 6: Final answer
    x = 1,178,112.61

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Why These Related Problems?

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