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Finding the Third Proportional to 276,315 and 439,382

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Solution

The third proportional to 276,315 and 439,382 is: 698,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,315 : 439,382 = 439,382 : x
  2. Step 2: Convert to fraction form
    276,315/439,382 = 439,382/x
  3. Step 3: Cross multiply
    276,315x = 439,382 × 439,382
  4. Step 4: Simplify right side
    276,315x = 193,056,541,924
  5. Step 5: Solve for x
    x = 193,056,541,924/276,315
  6. Step 6: Final answer
    x = 698,682.81

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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.