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Finding the Third Proportional to 382,924.13 and 635,985

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Solution

The third proportional to 382,924.13 and 635,985 is: 1,056,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,924.13 : 635,985 = 635,985 : x
  2. Step 2: Convert to fraction form
    382,924.13/635,985 = 635,985/x
  3. Step 3: Cross multiply
    382,924.13x = 635,985 × 635,985
  4. Step 4: Simplify right side
    382,924.13x = 404,476,920,225
  5. Step 5: Solve for x
    x = 404,476,920,225/382,924.13
  6. Step 6: Final answer
    x = 1,056,284.77

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.