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Finding the Third Proportional to 551,211 and 826,820

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Solution

The third proportional to 551,211 and 826,820 is: 1,240,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,211 : 826,820 = 826,820 : x
  2. Step 2: Convert to fraction form
    551,211/826,820 = 826,820/x
  3. Step 3: Cross multiply
    551,211x = 826,820 × 826,820
  4. Step 4: Simplify right side
    551,211x = 683,631,312,400
  5. Step 5: Solve for x
    x = 683,631,312,400/551,211
  6. Step 6: Final answer
    x = 1,240,235.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.