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Finding the Third Proportional to 262,018 and 533,666

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Solution

The third proportional to 262,018 and 533,666 is: 1,086,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,018 : 533,666 = 533,666 : x
  2. Step 2: Convert to fraction form
    262,018/533,666 = 533,666/x
  3. Step 3: Cross multiply
    262,018x = 533,666 × 533,666
  4. Step 4: Simplify right side
    262,018x = 284,799,399,556
  5. Step 5: Solve for x
    x = 284,799,399,556/262,018
  6. Step 6: Final answer
    x = 1,086,945.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.