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Finding the Third Proportional to 241,314.19 and 524,652.19

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Solution

The third proportional to 241,314.19 and 524,652.19 is: 1,140,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,314.19 : 524,652.19 = 524,652.19 : x
  2. Step 2: Convert to fraction form
    241,314.19/524,652.19 = 524,652.19/x
  3. Step 3: Cross multiply
    241,314.19x = 524,652.19 × 524,652.19
  4. Step 4: Simplify right side
    241,314.19x = 275,259,917,848.54
  5. Step 5: Solve for x
    x = 275,259,917,848.54/241,314.19
  6. Step 6: Final answer
    x = 1,140,670.26

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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.