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Finding the Third Proportional to 214,803 and 464,949

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Solution

The third proportional to 214,803 and 464,949 is: 1,006,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,803 : 464,949 = 464,949 : x
  2. Step 2: Convert to fraction form
    214,803/464,949 = 464,949/x
  3. Step 3: Cross multiply
    214,803x = 464,949 × 464,949
  4. Step 4: Simplify right side
    214,803x = 216,177,572,601
  5. Step 5: Solve for x
    x = 216,177,572,601/214,803
  6. Step 6: Final answer
    x = 1,006,399.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.