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Finding the Third Proportional to 240,660 and 381,403.50

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Solution

The third proportional to 240,660 and 381,403.50 is: 604,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,660 : 381,403.50 = 381,403.50 : x
  2. Step 2: Convert to fraction form
    240,660/381,403.50 = 381,403.50/x
  3. Step 3: Cross multiply
    240,660x = 381,403.50 × 381,403.50
  4. Step 4: Simplify right side
    240,660x = 145,468,629,812.25
  5. Step 5: Solve for x
    x = 145,468,629,812.25/240,660
  6. Step 6: Final answer
    x = 604,457.03

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.