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Finding the Third Proportional to 381,748 and 590,558

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Solution

The third proportional to 381,748 and 590,558 is: 913,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,748 : 590,558 = 590,558 : x
  2. Step 2: Convert to fraction form
    381,748/590,558 = 590,558/x
  3. Step 3: Cross multiply
    381,748x = 590,558 × 590,558
  4. Step 4: Simplify right side
    381,748x = 348,758,751,364
  5. Step 5: Solve for x
    x = 348,758,751,364/381,748
  6. Step 6: Final answer
    x = 913,583.70

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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.