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Finding the Third Proportional to 213,747.75 and 457,360.88

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Solution

The third proportional to 213,747.75 and 457,360.88 is: 978,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,747.75 : 457,360.88 = 457,360.88 : x
  2. Step 2: Convert to fraction form
    213,747.75/457,360.88 = 457,360.88/x
  3. Step 3: Cross multiply
    213,747.75x = 457,360.88 × 457,360.88
  4. Step 4: Simplify right side
    213,747.75x = 209,178,969,980.77
  5. Step 5: Solve for x
    x = 209,178,969,980.77/213,747.75
  6. Step 6: Final answer
    x = 978,625.37

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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.