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Finding the Third Proportional to 472,233 and 531,282

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Solution

The third proportional to 472,233 and 531,282 is: 597,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,233 : 531,282 = 531,282 : x
  2. Step 2: Convert to fraction form
    472,233/531,282 = 531,282/x
  3. Step 3: Cross multiply
    472,233x = 531,282 × 531,282
  4. Step 4: Simplify right side
    472,233x = 282,260,563,524
  5. Step 5: Solve for x
    x = 282,260,563,524/472,233
  6. Step 6: Final answer
    x = 597,714.61

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.