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Finding the Third Proportional to 230,388 and 472,257

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Solution

The third proportional to 230,388 and 472,257 is: 968,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,388 : 472,257 = 472,257 : x
  2. Step 2: Convert to fraction form
    230,388/472,257 = 472,257/x
  3. Step 3: Cross multiply
    230,388x = 472,257 × 472,257
  4. Step 4: Simplify right side
    230,388x = 223,026,674,049
  5. Step 5: Solve for x
    x = 223,026,674,049/230,388
  6. Step 6: Final answer
    x = 968,048.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.