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Finding the Third Proportional to 247,599.84 and 542,664.56

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Solution

The third proportional to 247,599.84 and 542,664.56 is: 1,189,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,599.84 : 542,664.56 = 542,664.56 : x
  2. Step 2: Convert to fraction form
    247,599.84/542,664.56 = 542,664.56/x
  3. Step 3: Cross multiply
    247,599.84x = 542,664.56 × 542,664.56
  4. Step 4: Simplify right side
    247,599.84x = 294,484,827,393.32
  5. Step 5: Solve for x
    x = 294,484,827,393.32/247,599.84
  6. Step 6: Final answer
    x = 1,189,357.89

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Why These Related Problems?

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