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Finding the Third Proportional to 380,187 and 588,481.50

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Solution

The third proportional to 380,187 and 588,481.50 is: 910,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,187 : 588,481.50 = 588,481.50 : x
  2. Step 2: Convert to fraction form
    380,187/588,481.50 = 588,481.50/x
  3. Step 3: Cross multiply
    380,187x = 588,481.50 × 588,481.50
  4. Step 4: Simplify right side
    380,187x = 346,310,475,842.25
  5. Step 5: Solve for x
    x = 346,310,475,842.25/380,187
  6. Step 6: Final answer
    x = 910,895.10

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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.