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Finding the Third Proportional to 680,568 and 953,685

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Solution

The third proportional to 680,568 and 953,685 is: 1,336,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,568 : 953,685 = 953,685 : x
  2. Step 2: Convert to fraction form
    680,568/953,685 = 953,685/x
  3. Step 3: Cross multiply
    680,568x = 953,685 × 953,685
  4. Step 4: Simplify right side
    680,568x = 909,515,079,225
  5. Step 5: Solve for x
    x = 909,515,079,225/680,568
  6. Step 6: Final answer
    x = 1,336,405.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.