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Finding the Third Proportional to 211,784.63 and 465,041.25

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Solution

The third proportional to 211,784.63 and 465,041.25 is: 1,021,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,784.63 : 465,041.25 = 465,041.25 : x
  2. Step 2: Convert to fraction form
    211,784.63/465,041.25 = 465,041.25/x
  3. Step 3: Cross multiply
    211,784.63x = 465,041.25 × 465,041.25
  4. Step 4: Simplify right side
    211,784.63x = 216,263,364,201.56
  5. Step 5: Solve for x
    x = 216,263,364,201.56/211,784.63
  6. Step 6: Final answer
    x = 1,021,147.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.