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Finding the Third Proportional to 351,435 and 753,719

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Solution

The third proportional to 351,435 and 753,719 is: 1,616,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,435 : 753,719 = 753,719 : x
  2. Step 2: Convert to fraction form
    351,435/753,719 = 753,719/x
  3. Step 3: Cross multiply
    351,435x = 753,719 × 753,719
  4. Step 4: Simplify right side
    351,435x = 568,092,330,961
  5. Step 5: Solve for x
    x = 568,092,330,961/351,435
  6. Step 6: Final answer
    x = 1,616,493.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.