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Finding the Third Proportional to 286,011 and 610,029

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Solution

The third proportional to 286,011 and 610,029 is: 1,301,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,011 : 610,029 = 610,029 : x
  2. Step 2: Convert to fraction form
    286,011/610,029 = 610,029/x
  3. Step 3: Cross multiply
    286,011x = 610,029 × 610,029
  4. Step 4: Simplify right side
    286,011x = 372,135,380,841
  5. Step 5: Solve for x
    x = 372,135,380,841/286,011
  6. Step 6: Final answer
    x = 1,301,122.62

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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.