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Finding the Third Proportional to 353,160 and 754,794

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Solution

The third proportional to 353,160 and 754,794 is: 1,613,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,160 : 754,794 = 754,794 : x
  2. Step 2: Convert to fraction form
    353,160/754,794 = 754,794/x
  3. Step 3: Cross multiply
    353,160x = 754,794 × 754,794
  4. Step 4: Simplify right side
    353,160x = 569,713,982,436
  5. Step 5: Solve for x
    x = 569,713,982,436/353,160
  6. Step 6: Final answer
    x = 1,613,189.44

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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.