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Finding the Third Proportional to 213,046.31 and 456,018.75

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Solution

The third proportional to 213,046.31 and 456,018.75 is: 976,093.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,046.31 : 456,018.75 = 456,018.75 : x
  2. Step 2: Convert to fraction form
    213,046.31/456,018.75 = 456,018.75/x
  3. Step 3: Cross multiply
    213,046.31x = 456,018.75 × 456,018.75
  4. Step 4: Simplify right side
    213,046.31x = 207,953,100,351.56
  5. Step 5: Solve for x
    x = 207,953,100,351.56/213,046.31
  6. Step 6: Final answer
    x = 976,093.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.