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Finding the Third Proportional to 567,720 and 789,372

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Solution

The third proportional to 567,720 and 789,372 is: 1,097,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,720 : 789,372 = 789,372 : x
  2. Step 2: Convert to fraction form
    567,720/789,372 = 789,372/x
  3. Step 3: Cross multiply
    567,720x = 789,372 × 789,372
  4. Step 4: Simplify right side
    567,720x = 623,108,154,384
  5. Step 5: Solve for x
    x = 623,108,154,384/567,720
  6. Step 6: Final answer
    x = 1,097,562.45

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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.