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Finding the Third Proportional to 379,788 and 590,422

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Solution

The third proportional to 379,788 and 590,422 is: 917,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,788 : 590,422 = 590,422 : x
  2. Step 2: Convert to fraction form
    379,788/590,422 = 590,422/x
  3. Step 3: Cross multiply
    379,788x = 590,422 × 590,422
  4. Step 4: Simplify right side
    379,788x = 348,598,138,084
  5. Step 5: Solve for x
    x = 348,598,138,084/379,788
  6. Step 6: Final answer
    x = 917,875.60

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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.