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Finding the Third Proportional to 567,792 and 789,480

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Solution

The third proportional to 567,792 and 789,480 is: 1,097,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,792 : 789,480 = 789,480 : x
  2. Step 2: Convert to fraction form
    567,792/789,480 = 789,480/x
  3. Step 3: Cross multiply
    567,792x = 789,480 × 789,480
  4. Step 4: Simplify right side
    567,792x = 623,278,670,400
  5. Step 5: Solve for x
    x = 623,278,670,400/567,792
  6. Step 6: Final answer
    x = 1,097,723.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.