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Finding the Third Proportional to 353,413.13 and 762,868.13

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Solution

The third proportional to 353,413.13 and 762,868.13 is: 1,646,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,413.13 : 762,868.13 = 762,868.13 : x
  2. Step 2: Convert to fraction form
    353,413.13/762,868.13 = 762,868.13/x
  3. Step 3: Cross multiply
    353,413.13x = 762,868.13 × 762,868.13
  4. Step 4: Simplify right side
    353,413.13x = 581,967,776,141.02
  5. Step 5: Solve for x
    x = 581,967,776,141.02/353,413.13
  6. Step 6: Final answer
    x = 1,646,706.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.