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Finding the Third Proportional to 773,800.50 and 869,755.50

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Solution

The third proportional to 773,800.50 and 869,755.50 is: 977,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,800.50 : 869,755.50 = 869,755.50 : x
  2. Step 2: Convert to fraction form
    773,800.50/869,755.50 = 869,755.50/x
  3. Step 3: Cross multiply
    773,800.50x = 869,755.50 × 869,755.50
  4. Step 4: Simplify right side
    773,800.50x = 756,474,629,780.25
  5. Step 5: Solve for x
    x = 756,474,629,780.25/773,800.50
  6. Step 6: Final answer
    x = 977,609.38

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.