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Finding the Third Proportional to 494,110.13 and 722,317.50

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Solution

The third proportional to 494,110.13 and 722,317.50 is: 1,055,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,110.13 : 722,317.50 = 722,317.50 : x
  2. Step 2: Convert to fraction form
    494,110.13/722,317.50 = 722,317.50/x
  3. Step 3: Cross multiply
    494,110.13x = 722,317.50 × 722,317.50
  4. Step 4: Simplify right side
    494,110.13x = 521,742,570,806.25
  5. Step 5: Solve for x
    x = 521,742,570,806.25/494,110.13
  6. Step 6: Final answer
    x = 1,055,923.66

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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.