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Finding the Third Proportional to 530,595 and 822,797

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Solution

The third proportional to 530,595 and 822,797 is: 1,275,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,595 : 822,797 = 822,797 : x
  2. Step 2: Convert to fraction form
    530,595/822,797 = 822,797/x
  3. Step 3: Cross multiply
    530,595x = 822,797 × 822,797
  4. Step 4: Simplify right side
    530,595x = 676,994,903,209
  5. Step 5: Solve for x
    x = 676,994,903,209/530,595
  6. Step 6: Final answer
    x = 1,275,916.48

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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.