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Finding the Third Proportional to 315,702 and 481,432.50

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Solution

The third proportional to 315,702 and 481,432.50 is: 734,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,702 : 481,432.50 = 481,432.50 : x
  2. Step 2: Convert to fraction form
    315,702/481,432.50 = 481,432.50/x
  3. Step 3: Cross multiply
    315,702x = 481,432.50 × 481,432.50
  4. Step 4: Simplify right side
    315,702x = 231,777,252,056.25
  5. Step 5: Solve for x
    x = 231,777,252,056.25/315,702
  6. Step 6: Final answer
    x = 734,164.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.