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Finding the Third Proportional to 353,217 and 754,908

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Solution

The third proportional to 353,217 and 754,908 is: 1,613,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,217 : 754,908 = 754,908 : x
  2. Step 2: Convert to fraction form
    353,217/754,908 = 754,908/x
  3. Step 3: Cross multiply
    353,217x = 754,908 × 754,908
  4. Step 4: Simplify right side
    353,217x = 569,886,088,464
  5. Step 5: Solve for x
    x = 569,886,088,464/353,217
  6. Step 6: Final answer
    x = 1,613,416.37

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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.