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Finding the Third Proportional to 213,339 and 457,041

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Solution

The third proportional to 213,339 and 457,041 is: 979,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,339 : 457,041 = 457,041 : x
  2. Step 2: Convert to fraction form
    213,339/457,041 = 457,041/x
  3. Step 3: Cross multiply
    213,339x = 457,041 × 457,041
  4. Step 4: Simplify right side
    213,339x = 208,886,475,681
  5. Step 5: Solve for x
    x = 208,886,475,681/213,339
  6. Step 6: Final answer
    x = 979,129.35

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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.