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Finding the Third Proportional to 211,454.25 and 455,917.50

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Solution

The third proportional to 211,454.25 and 455,917.50 is: 983,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,454.25 : 455,917.50 = 455,917.50 : x
  2. Step 2: Convert to fraction form
    211,454.25/455,917.50 = 455,917.50/x
  3. Step 3: Cross multiply
    211,454.25x = 455,917.50 × 455,917.50
  4. Step 4: Simplify right side
    211,454.25x = 207,860,766,806.25
  5. Step 5: Solve for x
    x = 207,860,766,806.25/211,454.25
  6. Step 6: Final answer
    x = 983,005.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.