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Finding the Third Proportional to 381,580 and 604,081

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Solution

The third proportional to 381,580 and 604,081 is: 956,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,580 : 604,081 = 604,081 : x
  2. Step 2: Convert to fraction form
    381,580/604,081 = 604,081/x
  3. Step 3: Cross multiply
    381,580x = 604,081 × 604,081
  4. Step 4: Simplify right side
    381,580x = 364,913,854,561
  5. Step 5: Solve for x
    x = 364,913,854,561/381,580
  6. Step 6: Final answer
    x = 956,323.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.