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Finding the Third Proportional to 381,575 and 604,074

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Solution

The third proportional to 381,575 and 604,074 is: 956,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,575 : 604,074 = 604,074 : x
  2. Step 2: Convert to fraction form
    381,575/604,074 = 604,074/x
  3. Step 3: Cross multiply
    381,575x = 604,074 × 604,074
  4. Step 4: Simplify right side
    381,575x = 364,905,397,476
  5. Step 5: Solve for x
    x = 364,905,397,476/381,575
  6. Step 6: Final answer
    x = 956,313.69

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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.