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Finding the Third Proportional to 494,268.75 and 723,907.13

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Solution

The third proportional to 494,268.75 and 723,907.13 is: 1,060,236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,268.75 : 723,907.13 = 723,907.13 : x
  2. Step 2: Convert to fraction form
    494,268.75/723,907.13 = 723,907.13/x
  3. Step 3: Cross multiply
    494,268.75x = 723,907.13 × 723,907.13
  4. Step 4: Simplify right side
    494,268.75x = 524,041,525,625.77
  5. Step 5: Solve for x
    x = 524,041,525,625.77/494,268.75
  6. Step 6: Final answer
    x = 1,060,236.01

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.