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Finding the Third Proportional to 381,524.75 and 590,488

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Solution

The third proportional to 381,524.75 and 590,488 is: 913,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,524.75 : 590,488 = 590,488 : x
  2. Step 2: Convert to fraction form
    381,524.75/590,488 = 590,488/x
  3. Step 3: Cross multiply
    381,524.75x = 590,488 × 590,488
  4. Step 4: Simplify right side
    381,524.75x = 348,676,078,144
  5. Step 5: Solve for x
    x = 348,676,078,144/381,524.75
  6. Step 6: Final answer
    x = 913,901.60

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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.