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Finding the Third Proportional to 382,246 and 459,058

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Solution

The third proportional to 382,246 and 459,058 is: 551,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,246 : 459,058 = 459,058 : x
  2. Step 2: Convert to fraction form
    382,246/459,058 = 459,058/x
  3. Step 3: Cross multiply
    382,246x = 459,058 × 459,058
  4. Step 4: Simplify right side
    382,246x = 210,734,247,364
  5. Step 5: Solve for x
    x = 210,734,247,364/382,246
  6. Step 6: Final answer
    x = 551,305.30

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.