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Finding the Third Proportional to 279,172 and 610,496

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Solution

The third proportional to 279,172 and 610,496 is: 1,335,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,172 : 610,496 = 610,496 : x
  2. Step 2: Convert to fraction form
    279,172/610,496 = 610,496/x
  3. Step 3: Cross multiply
    279,172x = 610,496 × 610,496
  4. Step 4: Simplify right side
    279,172x = 372,705,366,016
  5. Step 5: Solve for x
    x = 372,705,366,016/279,172
  6. Step 6: Final answer
    x = 1,335,038.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.