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Finding the Third Proportional to 213,699.94 and 456,004.69

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Solution

The third proportional to 213,699.94 and 456,004.69 is: 973,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,699.94 : 456,004.69 = 456,004.69 : x
  2. Step 2: Convert to fraction form
    213,699.94/456,004.69 = 456,004.69/x
  3. Step 3: Cross multiply
    213,699.94x = 456,004.69 × 456,004.69
  4. Step 4: Simplify right side
    213,699.94x = 207,940,275,021.97
  5. Step 5: Solve for x
    x = 207,940,275,021.97/213,699.94
  6. Step 6: Final answer
    x = 973,047.90

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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.