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Finding the Third Proportional to 266,029.31 and 401,805.56

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Solution

The third proportional to 266,029.31 and 401,805.56 is: 606,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,029.31 : 401,805.56 = 401,805.56 : x
  2. Step 2: Convert to fraction form
    266,029.31/401,805.56 = 401,805.56/x
  3. Step 3: Cross multiply
    266,029.31x = 401,805.56 × 401,805.56
  4. Step 4: Simplify right side
    266,029.31x = 161,447,710,055.94
  5. Step 5: Solve for x
    x = 161,447,710,055.94/266,029.31
  6. Step 6: Final answer
    x = 606,879.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.