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Finding the Third Proportional to 241,567.50 and 530,931

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Solution

The third proportional to 241,567.50 and 530,931 is: 1,166,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,567.50 : 530,931 = 530,931 : x
  2. Step 2: Convert to fraction form
    241,567.50/530,931 = 530,931/x
  3. Step 3: Cross multiply
    241,567.50x = 530,931 × 530,931
  4. Step 4: Simplify right side
    241,567.50x = 281,887,726,761
  5. Step 5: Solve for x
    x = 281,887,726,761/241,567.50
  6. Step 6: Final answer
    x = 1,166,910.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.