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Finding the Third Proportional to 444,360 and 688,251

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Solution

The third proportional to 444,360 and 688,251 is: 1,066,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,360 : 688,251 = 688,251 : x
  2. Step 2: Convert to fraction form
    444,360/688,251 = 688,251/x
  3. Step 3: Cross multiply
    444,360x = 688,251 × 688,251
  4. Step 4: Simplify right side
    444,360x = 473,689,439,001
  5. Step 5: Solve for x
    x = 473,689,439,001/444,360
  6. Step 6: Final answer
    x = 1,066,003.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.