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Finding the Third Proportional to 379,768 and 590,392

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Solution

The third proportional to 379,768 and 590,392 is: 917,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,768 : 590,392 = 590,392 : x
  2. Step 2: Convert to fraction form
    379,768/590,392 = 590,392/x
  3. Step 3: Cross multiply
    379,768x = 590,392 × 590,392
  4. Step 4: Simplify right side
    379,768x = 348,562,713,664
  5. Step 5: Solve for x
    x = 348,562,713,664/379,768
  6. Step 6: Final answer
    x = 917,830.66

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