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Finding the Third Proportional to 261,835 and 382,525

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Solution

The third proportional to 261,835 and 382,525 is: 558,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,835 : 382,525 = 382,525 : x
  2. Step 2: Convert to fraction form
    261,835/382,525 = 382,525/x
  3. Step 3: Cross multiply
    261,835x = 382,525 × 382,525
  4. Step 4: Simplify right side
    261,835x = 146,325,375,625
  5. Step 5: Solve for x
    x = 146,325,375,625/261,835
  6. Step 6: Final answer
    x = 558,845.74

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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.