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Finding the Third Proportional to 180,713 and 401,817

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Solution

The third proportional to 180,713 and 401,817 is: 893,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,713 : 401,817 = 401,817 : x
  2. Step 2: Convert to fraction form
    180,713/401,817 = 401,817/x
  3. Step 3: Cross multiply
    180,713x = 401,817 × 401,817
  4. Step 4: Simplify right side
    180,713x = 161,456,901,489
  5. Step 5: Solve for x
    x = 161,456,901,489/180,713
  6. Step 6: Final answer
    x = 893,443.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.