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Finding the Third Proportional to 349,930.13 and 540,357.75

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Solution

The third proportional to 349,930.13 and 540,357.75 is: 834,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,930.13 : 540,357.75 = 540,357.75 : x
  2. Step 2: Convert to fraction form
    349,930.13/540,357.75 = 540,357.75/x
  3. Step 3: Cross multiply
    349,930.13x = 540,357.75 × 540,357.75
  4. Step 4: Simplify right side
    349,930.13x = 291,986,497,985.06
  5. Step 5: Solve for x
    x = 291,986,497,985.06/349,930.13
  6. Step 6: Final answer
    x = 834,413.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.