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Finding the Third Proportional to 437,435 and 685,314

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Solution

The third proportional to 437,435 and 685,314 is: 1,073,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,435 : 685,314 = 685,314 : x
  2. Step 2: Convert to fraction form
    437,435/685,314 = 685,314/x
  3. Step 3: Cross multiply
    437,435x = 685,314 × 685,314
  4. Step 4: Simplify right side
    437,435x = 469,655,278,596
  5. Step 5: Solve for x
    x = 469,655,278,596/437,435
  6. Step 6: Final answer
    x = 1,073,657.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.