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Finding the Third Proportional to 350,787 and 771,558

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Solution

The third proportional to 350,787 and 771,558 is: 1,697,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,787 : 771,558 = 771,558 : x
  2. Step 2: Convert to fraction form
    350,787/771,558 = 771,558/x
  3. Step 3: Cross multiply
    350,787x = 771,558 × 771,558
  4. Step 4: Simplify right side
    350,787x = 595,301,747,364
  5. Step 5: Solve for x
    x = 595,301,747,364/350,787
  6. Step 6: Final answer
    x = 1,697,046.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.