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Finding the Third Proportional to 382,816.13 and 565,467.75

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Solution

The third proportional to 382,816.13 and 565,467.75 is: 835,267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,816.13 : 565,467.75 = 565,467.75 : x
  2. Step 2: Convert to fraction form
    382,816.13/565,467.75 = 565,467.75/x
  3. Step 3: Cross multiply
    382,816.13x = 565,467.75 × 565,467.75
  4. Step 4: Simplify right side
    382,816.13x = 319,753,776,290.06
  5. Step 5: Solve for x
    x = 319,753,776,290.06/382,816.13
  6. Step 6: Final answer
    x = 835,267.26

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.