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Finding the Third Proportional to 244,528 and 518,494

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Solution

The third proportional to 244,528 and 518,494 is: 1,099,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,528 : 518,494 = 518,494 : x
  2. Step 2: Convert to fraction form
    244,528/518,494 = 518,494/x
  3. Step 3: Cross multiply
    244,528x = 518,494 × 518,494
  4. Step 4: Simplify right side
    244,528x = 268,836,028,036
  5. Step 5: Solve for x
    x = 268,836,028,036/244,528
  6. Step 6: Final answer
    x = 1,099,407.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.