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Finding the Third Proportional to 291,642.75 and 417,052.13

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Solution

The third proportional to 291,642.75 and 417,052.13 is: 596,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,642.75 : 417,052.13 = 417,052.13 : x
  2. Step 2: Convert to fraction form
    291,642.75/417,052.13 = 417,052.13/x
  3. Step 3: Cross multiply
    291,642.75x = 417,052.13 × 417,052.13
  4. Step 4: Simplify right side
    291,642.75x = 173,932,474,967.02
  5. Step 5: Solve for x
    x = 173,932,474,967.02/291,642.75
  6. Step 6: Final answer
    x = 596,388.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.