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Finding the Third Proportional to 393,876 and 578,410

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Solution

The third proportional to 393,876 and 578,410 is: 849,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,876 : 578,410 = 578,410 : x
  2. Step 2: Convert to fraction form
    393,876/578,410 = 578,410/x
  3. Step 3: Cross multiply
    393,876x = 578,410 × 578,410
  4. Step 4: Simplify right side
    393,876x = 334,558,128,100
  5. Step 5: Solve for x
    x = 334,558,128,100/393,876
  6. Step 6: Final answer
    x = 849,399.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.