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Finding the Third Proportional to 221,413.50 and 477,832.50

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Solution

The third proportional to 221,413.50 and 477,832.50 is: 1,031,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,413.50 : 477,832.50 = 477,832.50 : x
  2. Step 2: Convert to fraction form
    221,413.50/477,832.50 = 477,832.50/x
  3. Step 3: Cross multiply
    221,413.50x = 477,832.50 × 477,832.50
  4. Step 4: Simplify right side
    221,413.50x = 228,323,898,056.25
  5. Step 5: Solve for x
    x = 228,323,898,056.25/221,413.50
  6. Step 6: Final answer
    x = 1,031,210.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.