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Finding the Third Proportional to 261,292 and 381,855

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Solution

The third proportional to 261,292 and 381,855 is: 558,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,292 : 381,855 = 381,855 : x
  2. Step 2: Convert to fraction form
    261,292/381,855 = 381,855/x
  3. Step 3: Cross multiply
    261,292x = 381,855 × 381,855
  4. Step 4: Simplify right side
    261,292x = 145,813,241,025
  5. Step 5: Solve for x
    x = 145,813,241,025/261,292
  6. Step 6: Final answer
    x = 558,047.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.