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Finding the Third Proportional to 282,292.50 and 402,413.50

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Solution

The third proportional to 282,292.50 and 402,413.50 is: 573,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,292.50 : 402,413.50 = 402,413.50 : x
  2. Step 2: Convert to fraction form
    282,292.50/402,413.50 = 402,413.50/x
  3. Step 3: Cross multiply
    282,292.50x = 402,413.50 × 402,413.50
  4. Step 4: Simplify right side
    282,292.50x = 161,936,624,982.25
  5. Step 5: Solve for x
    x = 161,936,624,982.25/282,292.50
  6. Step 6: Final answer
    x = 573,648.34

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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.