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Finding the Third Proportional to 238,468 and 492,056

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Solution

The third proportional to 238,468 and 492,056 is: 1,015,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,468 : 492,056 = 492,056 : x
  2. Step 2: Convert to fraction form
    238,468/492,056 = 492,056/x
  3. Step 3: Cross multiply
    238,468x = 492,056 × 492,056
  4. Step 4: Simplify right side
    238,468x = 242,119,107,136
  5. Step 5: Solve for x
    x = 242,119,107,136/238,468
  6. Step 6: Final answer
    x = 1,015,310.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.