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Finding the Third Proportional to 241,459.73 and 524,435.77

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Solution

The third proportional to 241,459.73 and 524,435.77 is: 1,139,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,459.73 : 524,435.77 = 524,435.77 : x
  2. Step 2: Convert to fraction form
    241,459.73/524,435.77 = 524,435.77/x
  3. Step 3: Cross multiply
    241,459.73x = 524,435.77 × 524,435.77
  4. Step 4: Simplify right side
    241,459.73x = 275,032,872,266.68
  5. Step 5: Solve for x
    x = 275,032,872,266.68/241,459.73
  6. Step 6: Final answer
    x = 1,139,042.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.