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Finding the Third Proportional to 247,083.75 and 541,445.63

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Solution

The third proportional to 247,083.75 and 541,445.63 is: 1,186,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,083.75 : 541,445.63 = 541,445.63 : x
  2. Step 2: Convert to fraction form
    247,083.75/541,445.63 = 541,445.63/x
  3. Step 3: Cross multiply
    247,083.75x = 541,445.63 × 541,445.63
  4. Step 4: Simplify right side
    247,083.75x = 293,163,364,831.64
  5. Step 5: Solve for x
    x = 293,163,364,831.64/247,083.75
  6. Step 6: Final answer
    x = 1,186,493.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.