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Finding the Third Proportional to 535,202 and 826,787

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Solution

The third proportional to 535,202 and 826,787 is: 1,277,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,202 : 826,787 = 826,787 : x
  2. Step 2: Convert to fraction form
    535,202/826,787 = 826,787/x
  3. Step 3: Cross multiply
    535,202x = 826,787 × 826,787
  4. Step 4: Simplify right side
    535,202x = 683,576,743,369
  5. Step 5: Solve for x
    x = 683,576,743,369/535,202
  6. Step 6: Final answer
    x = 1,277,231.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.