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Finding the Third Proportional to 261,048 and 415,380

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Solution

The third proportional to 261,048 and 415,380 is: 660,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,048 : 415,380 = 415,380 : x
  2. Step 2: Convert to fraction form
    261,048/415,380 = 415,380/x
  3. Step 3: Cross multiply
    261,048x = 415,380 × 415,380
  4. Step 4: Simplify right side
    261,048x = 172,540,544,400
  5. Step 5: Solve for x
    x = 172,540,544,400/261,048
  6. Step 6: Final answer
    x = 660,953.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.