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Finding the Third Proportional to 242,923.50 and 533,673

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Solution

The third proportional to 242,923.50 and 533,673 is: 1,172,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,923.50 : 533,673 = 533,673 : x
  2. Step 2: Convert to fraction form
    242,923.50/533,673 = 533,673/x
  3. Step 3: Cross multiply
    242,923.50x = 533,673 × 533,673
  4. Step 4: Simplify right side
    242,923.50x = 284,806,870,929
  5. Step 5: Solve for x
    x = 284,806,870,929/242,923.50
  6. Step 6: Final answer
    x = 1,172,413.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.