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Finding the Third Proportional to 349,413.75 and 748,657.69

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Solution

The third proportional to 349,413.75 and 748,657.69 is: 1,604,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,413.75 : 748,657.69 = 748,657.69 : x
  2. Step 2: Convert to fraction form
    349,413.75/748,657.69 = 748,657.69/x
  3. Step 3: Cross multiply
    349,413.75x = 748,657.69 × 748,657.69
  4. Step 4: Simplify right side
    349,413.75x = 560,488,333,052.85
  5. Step 5: Solve for x
    x = 560,488,333,052.85/349,413.75
  6. Step 6: Final answer
    x = 1,604,082.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.