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Finding the Third Proportional to 379,868 and 810,584

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Solution

The third proportional to 379,868 and 810,584 is: 1,729,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,868 : 810,584 = 810,584 : x
  2. Step 2: Convert to fraction form
    379,868/810,584 = 810,584/x
  3. Step 3: Cross multiply
    379,868x = 810,584 × 810,584
  4. Step 4: Simplify right side
    379,868x = 657,046,421,056
  5. Step 5: Solve for x
    x = 657,046,421,056/379,868
  6. Step 6: Final answer
    x = 1,729,670.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.