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Finding the Third Proportional to 185,974 and 401,464

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Solution

The third proportional to 185,974 and 401,464 is: 866,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,974 : 401,464 = 401,464 : x
  2. Step 2: Convert to fraction form
    185,974/401,464 = 401,464/x
  3. Step 3: Cross multiply
    185,974x = 401,464 × 401,464
  4. Step 4: Simplify right side
    185,974x = 161,173,343,296
  5. Step 5: Solve for x
    x = 161,173,343,296/185,974
  6. Step 6: Final answer
    x = 866,644.49

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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.