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Finding the Third Proportional to 241,458.47 and 524,401.59

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Solution

The third proportional to 241,458.47 and 524,401.59 is: 1,138,899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,458.47 : 524,401.59 = 524,401.59 : x
  2. Step 2: Convert to fraction form
    241,458.47/524,401.59 = 524,401.59/x
  3. Step 3: Cross multiply
    241,458.47x = 524,401.59 × 524,401.59
  4. Step 4: Simplify right side
    241,458.47x = 274,997,031,527.54
  5. Step 5: Solve for x
    x = 274,997,031,527.54/241,458.47
  6. Step 6: Final answer
    x = 1,138,899.92

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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.