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Finding the Third Proportional to 310,856 and 494,308

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Solution

The third proportional to 310,856 and 494,308 is: 786,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,856 : 494,308 = 494,308 : x
  2. Step 2: Convert to fraction form
    310,856/494,308 = 494,308/x
  3. Step 3: Cross multiply
    310,856x = 494,308 × 494,308
  4. Step 4: Simplify right side
    310,856x = 244,340,398,864
  5. Step 5: Solve for x
    x = 244,340,398,864/310,856
  6. Step 6: Final answer
    x = 786,024.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.