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Finding the Third Proportional to 244,496 and 518,428

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Solution

The third proportional to 244,496 and 518,428 is: 1,099,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,496 : 518,428 = 518,428 : x
  2. Step 2: Convert to fraction form
    244,496/518,428 = 518,428/x
  3. Step 3: Cross multiply
    244,496x = 518,428 × 518,428
  4. Step 4: Simplify right side
    244,496x = 268,767,591,184
  5. Step 5: Solve for x
    x = 268,767,591,184/244,496
  6. Step 6: Final answer
    x = 1,099,271.94

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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.