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Finding the Third Proportional to 349,046 and 753,794

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Solution

The third proportional to 349,046 and 753,794 is: 1,627,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,046 : 753,794 = 753,794 : x
  2. Step 2: Convert to fraction form
    349,046/753,794 = 753,794/x
  3. Step 3: Cross multiply
    349,046x = 753,794 × 753,794
  4. Step 4: Simplify right side
    349,046x = 568,205,394,436
  5. Step 5: Solve for x
    x = 568,205,394,436/349,046
  6. Step 6: Final answer
    x = 1,627,881.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.