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Finding the Third Proportional to 268,747 and 388,486

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Solution

The third proportional to 268,747 and 388,486 is: 561,574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,747 : 388,486 = 388,486 : x
  2. Step 2: Convert to fraction form
    268,747/388,486 = 388,486/x
  3. Step 3: Cross multiply
    268,747x = 388,486 × 388,486
  4. Step 4: Simplify right side
    268,747x = 150,921,372,196
  5. Step 5: Solve for x
    x = 150,921,372,196/268,747
  6. Step 6: Final answer
    x = 561,574.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.