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Finding the Third Proportional to 383,641.50 and 601,848

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Solution

The third proportional to 383,641.50 and 601,848 is: 944,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,641.50 : 601,848 = 601,848 : x
  2. Step 2: Convert to fraction form
    383,641.50/601,848 = 601,848/x
  3. Step 3: Cross multiply
    383,641.50x = 601,848 × 601,848
  4. Step 4: Simplify right side
    383,641.50x = 362,221,015,104
  5. Step 5: Solve for x
    x = 362,221,015,104/383,641.50
  6. Step 6: Final answer
    x = 944,165.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.