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Finding the Third Proportional to 385,607 and 835,568

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Solution

The third proportional to 385,607 and 835,568 is: 1,810,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,607 : 835,568 = 835,568 : x
  2. Step 2: Convert to fraction form
    385,607/835,568 = 835,568/x
  3. Step 3: Cross multiply
    385,607x = 835,568 × 835,568
  4. Step 4: Simplify right side
    385,607x = 698,173,882,624
  5. Step 5: Solve for x
    x = 698,173,882,624/385,607
  6. Step 6: Final answer
    x = 1,810,584.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.