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Finding the Third Proportional to 380,186.13 and 588,477.75

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Solution

The third proportional to 380,186.13 and 588,477.75 is: 910,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,186.13 : 588,477.75 = 588,477.75 : x
  2. Step 2: Convert to fraction form
    380,186.13/588,477.75 = 588,477.75/x
  3. Step 3: Cross multiply
    380,186.13x = 588,477.75 × 588,477.75
  4. Step 4: Simplify right side
    380,186.13x = 346,306,062,245.06
  5. Step 5: Solve for x
    x = 346,306,062,245.06/380,186.13
  6. Step 6: Final answer
    x = 910,885.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.