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Finding the Third Proportional to 530,597 and 822,800

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Solution

The third proportional to 530,597 and 822,800 is: 1,275,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,597 : 822,800 = 822,800 : x
  2. Step 2: Convert to fraction form
    530,597/822,800 = 822,800/x
  3. Step 3: Cross multiply
    530,597x = 822,800 × 822,800
  4. Step 4: Simplify right side
    530,597x = 676,999,840,000
  5. Step 5: Solve for x
    x = 676,999,840,000/530,597
  6. Step 6: Final answer
    x = 1,275,920.97

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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.