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Finding the Third Proportional to 211,462.50 and 455,932.50

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Solution

The third proportional to 211,462.50 and 455,932.50 is: 983,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,462.50 : 455,932.50 = 455,932.50 : x
  2. Step 2: Convert to fraction form
    211,462.50/455,932.50 = 455,932.50/x
  3. Step 3: Cross multiply
    211,462.50x = 455,932.50 × 455,932.50
  4. Step 4: Simplify right side
    211,462.50x = 207,874,444,556.25
  5. Step 5: Solve for x
    x = 207,874,444,556.25/211,462.50
  6. Step 6: Final answer
    x = 983,032.19

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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.