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Finding the Third Proportional to 374,181.75 and 576,036

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Solution

The third proportional to 374,181.75 and 576,036 is: 886,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,181.75 : 576,036 = 576,036 : x
  2. Step 2: Convert to fraction form
    374,181.75/576,036 = 576,036/x
  3. Step 3: Cross multiply
    374,181.75x = 576,036 × 576,036
  4. Step 4: Simplify right side
    374,181.75x = 331,817,473,296
  5. Step 5: Solve for x
    x = 331,817,473,296/374,181.75
  6. Step 6: Final answer
    x = 886,781.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.