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Finding the Third Proportional to 530,593 and 822,793.50

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Solution

The third proportional to 530,593 and 822,793.50 is: 1,275,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,593 : 822,793.50 = 822,793.50 : x
  2. Step 2: Convert to fraction form
    530,593/822,793.50 = 822,793.50/x
  3. Step 3: Cross multiply
    530,593x = 822,793.50 × 822,793.50
  4. Step 4: Simplify right side
    530,593x = 676,989,143,642.25
  5. Step 5: Solve for x
    x = 676,989,143,642.25/530,593
  6. Step 6: Final answer
    x = 1,275,910.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.