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Finding the Third Proportional to 228,314 and 472,540

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Solution

The third proportional to 228,314 and 472,540 is: 978,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,314 : 472,540 = 472,540 : x
  2. Step 2: Convert to fraction form
    228,314/472,540 = 472,540/x
  3. Step 3: Cross multiply
    228,314x = 472,540 × 472,540
  4. Step 4: Simplify right side
    228,314x = 223,294,051,600
  5. Step 5: Solve for x
    x = 223,294,051,600/228,314
  6. Step 6: Final answer
    x = 978,012.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.