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Finding the Third Proportional to 241,863.75 and 564,790.50

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Solution

The third proportional to 241,863.75 and 564,790.50 is: 1,318,876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,863.75 : 564,790.50 = 564,790.50 : x
  2. Step 2: Convert to fraction form
    241,863.75/564,790.50 = 564,790.50/x
  3. Step 3: Cross multiply
    241,863.75x = 564,790.50 × 564,790.50
  4. Step 4: Simplify right side
    241,863.75x = 318,988,308,890.25
  5. Step 5: Solve for x
    x = 318,988,308,890.25/241,863.75
  6. Step 6: Final answer
    x = 1,318,876.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.