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Finding the Third Proportional to 379,844 and 590,486

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Solution

The third proportional to 379,844 and 590,486 is: 917,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,844 : 590,486 = 590,486 : x
  2. Step 2: Convert to fraction form
    379,844/590,486 = 590,486/x
  3. Step 3: Cross multiply
    379,844x = 590,486 × 590,486
  4. Step 4: Simplify right side
    379,844x = 348,673,716,196
  5. Step 5: Solve for x
    x = 348,673,716,196/379,844
  6. Step 6: Final answer
    x = 917,939.25

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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.