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Finding the Third Proportional to 244,668 and 537,447

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Solution

The third proportional to 244,668 and 537,447 is: 1,180,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,668 : 537,447 = 537,447 : x
  2. Step 2: Convert to fraction form
    244,668/537,447 = 537,447/x
  3. Step 3: Cross multiply
    244,668x = 537,447 × 537,447
  4. Step 4: Simplify right side
    244,668x = 288,849,277,809
  5. Step 5: Solve for x
    x = 288,849,277,809/244,668
  6. Step 6: Final answer
    x = 1,180,576.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.