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Finding the Third Proportional to 560,153 and 860,996

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Solution

The third proportional to 560,153 and 860,996 is: 1,323,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,153 : 860,996 = 860,996 : x
  2. Step 2: Convert to fraction form
    560,153/860,996 = 860,996/x
  3. Step 3: Cross multiply
    560,153x = 860,996 × 860,996
  4. Step 4: Simplify right side
    560,153x = 741,314,112,016
  5. Step 5: Solve for x
    x = 741,314,112,016/560,153
  6. Step 6: Final answer
    x = 1,323,413.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.