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Finding the Third Proportional to 213,680 and 455,962

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Solution

The third proportional to 213,680 and 455,962 is: 972,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,680 : 455,962 = 455,962 : x
  2. Step 2: Convert to fraction form
    213,680/455,962 = 455,962/x
  3. Step 3: Cross multiply
    213,680x = 455,962 × 455,962
  4. Step 4: Simplify right side
    213,680x = 207,901,345,444
  5. Step 5: Solve for x
    x = 207,901,345,444/213,680
  6. Step 6: Final answer
    x = 972,956.50

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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.