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Finding the Third Proportional to 345,196 and 753,147

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Solution

The third proportional to 345,196 and 753,147 is: 1,643,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,196 : 753,147 = 753,147 : x
  2. Step 2: Convert to fraction form
    345,196/753,147 = 753,147/x
  3. Step 3: Cross multiply
    345,196x = 753,147 × 753,147
  4. Step 4: Simplify right side
    345,196x = 567,230,403,609
  5. Step 5: Solve for x
    x = 567,230,403,609/345,196
  6. Step 6: Final answer
    x = 1,643,212.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.