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Finding the Third Proportional to 467,413.50 and 668,416.50

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Solution

The third proportional to 467,413.50 and 668,416.50 is: 955,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,413.50 : 668,416.50 = 668,416.50 : x
  2. Step 2: Convert to fraction form
    467,413.50/668,416.50 = 668,416.50/x
  3. Step 3: Cross multiply
    467,413.50x = 668,416.50 × 668,416.50
  4. Step 4: Simplify right side
    467,413.50x = 446,780,617,472.25
  5. Step 5: Solve for x
    x = 446,780,617,472.25/467,413.50
  6. Step 6: Final answer
    x = 955,857.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.