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Finding the Third Proportional to 228,395 and 491,710

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Solution

The third proportional to 228,395 and 491,710 is: 1,058,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,395 : 491,710 = 491,710 : x
  2. Step 2: Convert to fraction form
    228,395/491,710 = 491,710/x
  3. Step 3: Cross multiply
    228,395x = 491,710 × 491,710
  4. Step 4: Simplify right side
    228,395x = 241,778,724,100
  5. Step 5: Solve for x
    x = 241,778,724,100/228,395
  6. Step 6: Final answer
    x = 1,058,599.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.