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Finding the Third Proportional to 202,784.25 and 469,432.31

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Solution

The third proportional to 202,784.25 and 469,432.31 is: 1,086,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,784.25 : 469,432.31 = 469,432.31 : x
  2. Step 2: Convert to fraction form
    202,784.25/469,432.31 = 469,432.31/x
  3. Step 3: Cross multiply
    202,784.25x = 469,432.31 × 469,432.31
  4. Step 4: Simplify right side
    202,784.25x = 220,366,696,019.10
  5. Step 5: Solve for x
    x = 220,366,696,019.10/202,784.25
  6. Step 6: Final answer
    x = 1,086,705.19

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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.