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Finding the Third Proportional to 381,582 and 604,086

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Solution

The third proportional to 381,582 and 604,086 is: 956,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,582 : 604,086 = 604,086 : x
  2. Step 2: Convert to fraction form
    381,582/604,086 = 604,086/x
  3. Step 3: Cross multiply
    381,582x = 604,086 × 604,086
  4. Step 4: Simplify right side
    381,582x = 364,919,895,396
  5. Step 5: Solve for x
    x = 364,919,895,396/381,582
  6. Step 6: Final answer
    x = 956,334.14

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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.