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Finding the Third Proportional to 269,698.04 and 409,467.66

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Solution

The third proportional to 269,698.04 and 409,467.66 is: 621,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,698.04 : 409,467.66 = 409,467.66 : x
  2. Step 2: Convert to fraction form
    269,698.04/409,467.66 = 409,467.66/x
  3. Step 3: Cross multiply
    269,698.04x = 409,467.66 × 409,467.66
  4. Step 4: Simplify right side
    269,698.04x = 167,663,761,514.87
  5. Step 5: Solve for x
    x = 167,663,761,514.87/269,698.04
  6. Step 6: Final answer
    x = 621,672.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.