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Finding the Third Proportional to 379,824 and 590,472

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Solution

The third proportional to 379,824 and 590,472 is: 917,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,824 : 590,472 = 590,472 : x
  2. Step 2: Convert to fraction form
    379,824/590,472 = 590,472/x
  3. Step 3: Cross multiply
    379,824x = 590,472 × 590,472
  4. Step 4: Simplify right side
    379,824x = 348,657,182,784
  5. Step 5: Solve for x
    x = 348,657,182,784/379,824
  6. Step 6: Final answer
    x = 917,944.06

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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.