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Finding the Third Proportional to 413,413.03 and 972,685.13

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Solution

The third proportional to 413,413.03 and 972,685.13 is: 2,288,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,413.03 : 972,685.13 = 972,685.13 : x
  2. Step 2: Convert to fraction form
    413,413.03/972,685.13 = 972,685.13/x
  3. Step 3: Cross multiply
    413,413.03x = 972,685.13 × 972,685.13
  4. Step 4: Simplify right side
    413,413.03x = 946,116,352,396.27
  5. Step 5: Solve for x
    x = 946,116,352,396.27/413,413.03
  6. Step 6: Final answer
    x = 2,288,549.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.