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Finding the Third Proportional to 609,580.69 and 698,154.19

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Solution

The third proportional to 609,580.69 and 698,154.19 is: 799,597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,580.69 : 698,154.19 = 698,154.19 : x
  2. Step 2: Convert to fraction form
    609,580.69/698,154.19 = 698,154.19/x
  3. Step 3: Cross multiply
    609,580.69x = 698,154.19 × 698,154.19
  4. Step 4: Simplify right side
    609,580.69x = 487,419,269,523.79
  5. Step 5: Solve for x
    x = 487,419,269,523.79/609,580.69
  6. Step 6: Final answer
    x = 799,597.62

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.