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Finding the Third Proportional to 276,332 and 439,416

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Solution

The third proportional to 276,332 and 439,416 is: 698,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,332 : 439,416 = 439,416 : x
  2. Step 2: Convert to fraction form
    276,332/439,416 = 439,416/x
  3. Step 3: Cross multiply
    276,332x = 439,416 × 439,416
  4. Step 4: Simplify right side
    276,332x = 193,086,421,056
  5. Step 5: Solve for x
    x = 193,086,421,056/276,332
  6. Step 6: Final answer
    x = 698,747.96

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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.