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Finding the Third Proportional to 217,961.86 and 461,852.58

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Solution

The third proportional to 217,961.86 and 461,852.58 is: 978,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,961.86 : 461,852.58 = 461,852.58 : x
  2. Step 2: Convert to fraction form
    217,961.86/461,852.58 = 461,852.58/x
  3. Step 3: Cross multiply
    217,961.86x = 461,852.58 × 461,852.58
  4. Step 4: Simplify right side
    217,961.86x = 213,307,803,920.71
  5. Step 5: Solve for x
    x = 213,307,803,920.71/217,961.86
  6. Step 6: Final answer
    x = 978,647.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.