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Finding the Third Proportional to 202,784.63 and 469,433.25

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Solution

The third proportional to 202,784.63 and 469,433.25 is: 1,086,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,784.63 : 469,433.25 = 469,433.25 : x
  2. Step 2: Convert to fraction form
    202,784.63/469,433.25 = 469,433.25/x
  3. Step 3: Cross multiply
    202,784.63x = 469,433.25 × 469,433.25
  4. Step 4: Simplify right side
    202,784.63x = 220,367,576,205.56
  5. Step 5: Solve for x
    x = 220,367,576,205.56/202,784.63
  6. Step 6: Final answer
    x = 1,086,707.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.