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Finding the Third Proportional to 213,326.25 and 457,013.25

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Solution

The third proportional to 213,326.25 and 457,013.25 is: 979,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,326.25 : 457,013.25 = 457,013.25 : x
  2. Step 2: Convert to fraction form
    213,326.25/457,013.25 = 457,013.25/x
  3. Step 3: Cross multiply
    213,326.25x = 457,013.25 × 457,013.25
  4. Step 4: Simplify right side
    213,326.25x = 208,861,110,675.56
  5. Step 5: Solve for x
    x = 208,861,110,675.56/213,326.25
  6. Step 6: Final answer
    x = 979,068.96

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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.