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Finding the Third Proportional to 240,276 and 360,414

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Solution

The third proportional to 240,276 and 360,414 is: 540,621

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,276 : 360,414 = 360,414 : x
  2. Step 2: Convert to fraction form
    240,276/360,414 = 360,414/x
  3. Step 3: Cross multiply
    240,276x = 360,414 × 360,414
  4. Step 4: Simplify right side
    240,276x = 129,898,251,396
  5. Step 5: Solve for x
    x = 129,898,251,396/240,276
  6. Step 6: Final answer
    x = 540,621

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.