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Finding the Third Proportional to 213,323.81 and 457,009.13

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Solution

The third proportional to 213,323.81 and 457,009.13 is: 979,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,323.81 : 457,009.13 = 457,009.13 : x
  2. Step 2: Convert to fraction form
    213,323.81/457,009.13 = 457,009.13/x
  3. Step 3: Cross multiply
    213,323.81x = 457,009.13 × 457,009.13
  4. Step 4: Simplify right side
    213,323.81x = 208,857,340,333.27
  5. Step 5: Solve for x
    x = 208,857,340,333.27/213,323.81
  6. Step 6: Final answer
    x = 979,062.48

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