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Finding the Third Proportional to 354,316 and 755,934

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Solution

The third proportional to 354,316 and 755,934 is: 1,612,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,316 : 755,934 = 755,934 : x
  2. Step 2: Convert to fraction form
    354,316/755,934 = 755,934/x
  3. Step 3: Cross multiply
    354,316x = 755,934 × 755,934
  4. Step 4: Simplify right side
    354,316x = 571,436,212,356
  5. Step 5: Solve for x
    x = 571,436,212,356/354,316
  6. Step 6: Final answer
    x = 1,612,786.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.