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Finding the Third Proportional to 261,021 and 569,982

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Solution

The third proportional to 261,021 and 569,982 is: 1,244,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,021 : 569,982 = 569,982 : x
  2. Step 2: Convert to fraction form
    261,021/569,982 = 569,982/x
  3. Step 3: Cross multiply
    261,021x = 569,982 × 569,982
  4. Step 4: Simplify right side
    261,021x = 324,879,480,324
  5. Step 5: Solve for x
    x = 324,879,480,324/261,021
  6. Step 6: Final answer
    x = 1,244,648.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.