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Finding the Third Proportional to 276,641 and 439,154

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Solution

The third proportional to 276,641 and 439,154 is: 697,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,641 : 439,154 = 439,154 : x
  2. Step 2: Convert to fraction form
    276,641/439,154 = 439,154/x
  3. Step 3: Cross multiply
    276,641x = 439,154 × 439,154
  4. Step 4: Simplify right side
    276,641x = 192,856,235,716
  5. Step 5: Solve for x
    x = 192,856,235,716/276,641
  6. Step 6: Final answer
    x = 697,135.41

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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.