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Finding the Third Proportional to 381,573 and 604,071

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Solution

The third proportional to 381,573 and 604,071 is: 956,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,573 : 604,071 = 604,071 : x
  2. Step 2: Convert to fraction form
    381,573/604,071 = 604,071/x
  3. Step 3: Cross multiply
    381,573x = 604,071 × 604,071
  4. Step 4: Simplify right side
    381,573x = 364,901,773,041
  5. Step 5: Solve for x
    x = 364,901,773,041/381,573
  6. Step 6: Final answer
    x = 956,309.21

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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.