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Finding the Third Proportional to 234,084 and 496,056

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Solution

The third proportional to 234,084 and 496,056 is: 1,051,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,084 : 496,056 = 496,056 : x
  2. Step 2: Convert to fraction form
    234,084/496,056 = 496,056/x
  3. Step 3: Cross multiply
    234,084x = 496,056 × 496,056
  4. Step 4: Simplify right side
    234,084x = 246,071,555,136
  5. Step 5: Solve for x
    x = 246,071,555,136/234,084
  6. Step 6: Final answer
    x = 1,051,210.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.