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Finding the Third Proportional to 530,594 and 822,795

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Solution

The third proportional to 530,594 and 822,795 is: 1,275,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,594 : 822,795 = 822,795 : x
  2. Step 2: Convert to fraction form
    530,594/822,795 = 822,795/x
  3. Step 3: Cross multiply
    530,594x = 822,795 × 822,795
  4. Step 4: Simplify right side
    530,594x = 676,991,612,025
  5. Step 5: Solve for x
    x = 676,991,612,025/530,594
  6. Step 6: Final answer
    x = 1,275,912.68

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Why These Related Problems?

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