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Finding the Third Proportional to 551,182 and 826,772

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Solution

The third proportional to 551,182 and 826,772 is: 1,240,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,182 : 826,772 = 826,772 : x
  2. Step 2: Convert to fraction form
    551,182/826,772 = 826,772/x
  3. Step 3: Cross multiply
    551,182x = 826,772 × 826,772
  4. Step 4: Simplify right side
    551,182x = 683,551,939,984
  5. Step 5: Solve for x
    x = 683,551,939,984/551,182
  6. Step 6: Final answer
    x = 1,240,156.50

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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.