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Finding the Third Proportional to 213,323.63 and 457,008.75

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Solution

The third proportional to 213,323.63 and 457,008.75 is: 979,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,323.63 : 457,008.75 = 457,008.75 : x
  2. Step 2: Convert to fraction form
    213,323.63/457,008.75 = 457,008.75/x
  3. Step 3: Cross multiply
    213,323.63x = 457,008.75 × 457,008.75
  4. Step 4: Simplify right side
    213,323.63x = 208,856,997,576.56
  5. Step 5: Solve for x
    x = 208,856,997,576.56/213,323.63
  6. Step 6: Final answer
    x = 979,061.73

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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.