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Finding the Third Proportional to 305,337 and 449,125.50

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Solution

The third proportional to 305,337 and 449,125.50 is: 660,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,337 : 449,125.50 = 449,125.50 : x
  2. Step 2: Convert to fraction form
    305,337/449,125.50 = 449,125.50/x
  3. Step 3: Cross multiply
    305,337x = 449,125.50 × 449,125.50
  4. Step 4: Simplify right side
    305,337x = 201,713,714,750.25
  5. Step 5: Solve for x
    x = 201,713,714,750.25/305,337
  6. Step 6: Final answer
    x = 660,626.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.