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Finding the Third Proportional to 264,777 and 370,381.50

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Solution

The third proportional to 264,777 and 370,381.50 is: 518,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,777 : 370,381.50 = 370,381.50 : x
  2. Step 2: Convert to fraction form
    264,777/370,381.50 = 370,381.50/x
  3. Step 3: Cross multiply
    264,777x = 370,381.50 × 370,381.50
  4. Step 4: Simplify right side
    264,777x = 137,182,455,542.25
  5. Step 5: Solve for x
    x = 137,182,455,542.25/264,777
  6. Step 6: Final answer
    x = 518,105.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.