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Finding the Third Proportional to 222,264 and 473,688

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Solution

The third proportional to 222,264 and 473,688 is: 1,009,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,264 : 473,688 = 473,688 : x
  2. Step 2: Convert to fraction form
    222,264/473,688 = 473,688/x
  3. Step 3: Cross multiply
    222,264x = 473,688 × 473,688
  4. Step 4: Simplify right side
    222,264x = 224,380,321,344
  5. Step 5: Solve for x
    x = 224,380,321,344/222,264
  6. Step 6: Final answer
    x = 1,009,521.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.