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Finding the Third Proportional to 564,078.75 and 1,231,050

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Solution

The third proportional to 564,078.75 and 1,231,050 is: 2,686,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,078.75 : 1,231,050 = 1,231,050 : x
  2. Step 2: Convert to fraction form
    564,078.75/1,231,050 = 1,231,050/x
  3. Step 3: Cross multiply
    564,078.75x = 1,231,050 × 1,231,050
  4. Step 4: Simplify right side
    564,078.75x = 1,515,484,102,500
  5. Step 5: Solve for x
    x = 1,515,484,102,500/564,078.75
  6. Step 6: Final answer
    x = 2,686,653.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.