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Finding the Third Proportional to 360,314 and 834,149

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Solution

The third proportional to 360,314 and 834,149 is: 1,931,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,314 : 834,149 = 834,149 : x
  2. Step 2: Convert to fraction form
    360,314/834,149 = 834,149/x
  3. Step 3: Cross multiply
    360,314x = 834,149 × 834,149
  4. Step 4: Simplify right side
    360,314x = 695,804,554,201
  5. Step 5: Solve for x
    x = 695,804,554,201/360,314
  6. Step 6: Final answer
    x = 1,931,106.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.