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Finding the Third Proportional to 481,561.50 and 715,410

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Solution

The third proportional to 481,561.50 and 715,410 is: 1,062,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,561.50 : 715,410 = 715,410 : x
  2. Step 2: Convert to fraction form
    481,561.50/715,410 = 715,410/x
  3. Step 3: Cross multiply
    481,561.50x = 715,410 × 715,410
  4. Step 4: Simplify right side
    481,561.50x = 511,811,468,100
  5. Step 5: Solve for x
    x = 511,811,468,100/481,561.50
  6. Step 6: Final answer
    x = 1,062,816.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.