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Finding the Third Proportional to 226,247.50 and 474,527

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Solution

The third proportional to 226,247.50 and 474,527 is: 995,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,247.50 : 474,527 = 474,527 : x
  2. Step 2: Convert to fraction form
    226,247.50/474,527 = 474,527/x
  3. Step 3: Cross multiply
    226,247.50x = 474,527 × 474,527
  4. Step 4: Simplify right side
    226,247.50x = 225,175,873,729
  5. Step 5: Solve for x
    x = 225,175,873,729/226,247.50
  6. Step 6: Final answer
    x = 995,263.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.