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Finding the Third Proportional to 269,700 and 547,056

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Solution

The third proportional to 269,700 and 547,056 is: 1,109,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,700 : 547,056 = 547,056 : x
  2. Step 2: Convert to fraction form
    269,700/547,056 = 547,056/x
  3. Step 3: Cross multiply
    269,700x = 547,056 × 547,056
  4. Step 4: Simplify right side
    269,700x = 299,270,267,136
  5. Step 5: Solve for x
    x = 299,270,267,136/269,700
  6. Step 6: Final answer
    x = 1,109,641.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.