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Finding the Third Proportional to 376,215.75 and 583,187.06

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Solution

The third proportional to 376,215.75 and 583,187.06 is: 904,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,215.75 : 583,187.06 = 583,187.06 : x
  2. Step 2: Convert to fraction form
    376,215.75/583,187.06 = 583,187.06/x
  3. Step 3: Cross multiply
    376,215.75x = 583,187.06 × 583,187.06
  4. Step 4: Simplify right side
    376,215.75x = 340,107,149,867.38
  5. Step 5: Solve for x
    x = 340,107,149,867.38/376,215.75
  6. Step 6: Final answer
    x = 904,021.56

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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.