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Finding the Third Proportional to 222,838.50 and 486,501

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Solution

The third proportional to 222,838.50 and 486,501 is: 1,062,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,838.50 : 486,501 = 486,501 : x
  2. Step 2: Convert to fraction form
    222,838.50/486,501 = 486,501/x
  3. Step 3: Cross multiply
    222,838.50x = 486,501 × 486,501
  4. Step 4: Simplify right side
    222,838.50x = 236,683,223,001
  5. Step 5: Solve for x
    x = 236,683,223,001/222,838.50
  6. Step 6: Final answer
    x = 1,062,128.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.