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Finding the Third Proportional to 379,784 and 590,416

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Solution

The third proportional to 379,784 and 590,416 is: 917,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,784 : 590,416 = 590,416 : x
  2. Step 2: Convert to fraction form
    379,784/590,416 = 590,416/x
  3. Step 3: Cross multiply
    379,784x = 590,416 × 590,416
  4. Step 4: Simplify right side
    379,784x = 348,591,053,056
  5. Step 5: Solve for x
    x = 348,591,053,056/379,784
  6. Step 6: Final answer
    x = 917,866.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.