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Finding the Third Proportional to 293,706 and 452,236.50

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Solution

The third proportional to 293,706 and 452,236.50 is: 696,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,706 : 452,236.50 = 452,236.50 : x
  2. Step 2: Convert to fraction form
    293,706/452,236.50 = 452,236.50/x
  3. Step 3: Cross multiply
    293,706x = 452,236.50 × 452,236.50
  4. Step 4: Simplify right side
    293,706x = 204,517,851,932.25
  5. Step 5: Solve for x
    x = 204,517,851,932.25/293,706
  6. Step 6: Final answer
    x = 696,335.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.