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Finding the Third Proportional to 332,413.50 and 546,121.50

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Solution

The third proportional to 332,413.50 and 546,121.50 is: 897,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,413.50 : 546,121.50 = 546,121.50 : x
  2. Step 2: Convert to fraction form
    332,413.50/546,121.50 = 546,121.50/x
  3. Step 3: Cross multiply
    332,413.50x = 546,121.50 × 546,121.50
  4. Step 4: Simplify right side
    332,413.50x = 298,248,692,762.25
  5. Step 5: Solve for x
    x = 298,248,692,762.25/332,413.50
  6. Step 6: Final answer
    x = 897,221.96

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.