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Finding the Third Proportional to 241,543.90 and 524,709.14

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Solution

The third proportional to 241,543.90 and 524,709.14 is: 1,139,832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,543.90 : 524,709.14 = 524,709.14 : x
  2. Step 2: Convert to fraction form
    241,543.90/524,709.14 = 524,709.14/x
  3. Step 3: Cross multiply
    241,543.90x = 524,709.14 × 524,709.14
  4. Step 4: Simplify right side
    241,543.90x = 275,319,682,255.43
  5. Step 5: Solve for x
    x = 275,319,682,255.43/241,543.90
  6. Step 6: Final answer
    x = 1,139,832.90

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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.