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Finding the Third Proportional to 185,799 and 401,406

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Solution

The third proportional to 185,799 and 401,406 is: 867,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,799 : 401,406 = 401,406 : x
  2. Step 2: Convert to fraction form
    185,799/401,406 = 401,406/x
  3. Step 3: Cross multiply
    185,799x = 401,406 × 401,406
  4. Step 4: Simplify right side
    185,799x = 161,126,776,836
  5. Step 5: Solve for x
    x = 161,126,776,836/185,799
  6. Step 6: Final answer
    x = 867,210.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.