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Finding the Third Proportional to 302,413.50 and 446,725.13

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Solution

The third proportional to 302,413.50 and 446,725.13 is: 659,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,413.50 : 446,725.13 = 446,725.13 : x
  2. Step 2: Convert to fraction form
    302,413.50/446,725.13 = 446,725.13/x
  3. Step 3: Cross multiply
    302,413.50x = 446,725.13 × 446,725.13
  4. Step 4: Simplify right side
    302,413.50x = 199,563,337,306.27
  5. Step 5: Solve for x
    x = 199,563,337,306.27/302,413.50
  6. Step 6: Final answer
    x = 659,902.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.