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Finding the Third Proportional to 341,498 and 501,175

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Solution

The third proportional to 341,498 and 501,175 is: 735,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,498 : 501,175 = 501,175 : x
  2. Step 2: Convert to fraction form
    341,498/501,175 = 501,175/x
  3. Step 3: Cross multiply
    341,498x = 501,175 × 501,175
  4. Step 4: Simplify right side
    341,498x = 251,176,380,625
  5. Step 5: Solve for x
    x = 251,176,380,625/341,498
  6. Step 6: Final answer
    x = 735,513.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.