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Finding the Third Proportional to 244,598 and 537,307

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Solution

The third proportional to 244,598 and 537,307 is: 1,180,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,598 : 537,307 = 537,307 : x
  2. Step 2: Convert to fraction form
    244,598/537,307 = 537,307/x
  3. Step 3: Cross multiply
    244,598x = 537,307 × 537,307
  4. Step 4: Simplify right side
    244,598x = 288,698,812,249
  5. Step 5: Solve for x
    x = 288,698,812,249/244,598
  6. Step 6: Final answer
    x = 1,180,299.15

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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.