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Finding the Third Proportional to 348,849 and 753,462

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Solution

The third proportional to 348,849 and 753,462 is: 1,627,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,849 : 753,462 = 753,462 : x
  2. Step 2: Convert to fraction form
    348,849/753,462 = 753,462/x
  3. Step 3: Cross multiply
    348,849x = 753,462 × 753,462
  4. Step 4: Simplify right side
    348,849x = 567,704,985,444
  5. Step 5: Solve for x
    x = 567,704,985,444/348,849
  6. Step 6: Final answer
    x = 1,627,365.95

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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.