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Finding the Third Proportional to 276,532 and 439,705

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Solution

The third proportional to 276,532 and 439,705 is: 699,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,532 : 439,705 = 439,705 : x
  2. Step 2: Convert to fraction form
    276,532/439,705 = 439,705/x
  3. Step 3: Cross multiply
    276,532x = 439,705 × 439,705
  4. Step 4: Simplify right side
    276,532x = 193,340,487,025
  5. Step 5: Solve for x
    x = 193,340,487,025/276,532
  6. Step 6: Final answer
    x = 699,161.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.