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Finding the Third Proportional to 266,048 and 544,526

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Solution

The third proportional to 266,048 and 544,526 is: 1,114,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,048 : 544,526 = 544,526 : x
  2. Step 2: Convert to fraction form
    266,048/544,526 = 544,526/x
  3. Step 3: Cross multiply
    266,048x = 544,526 × 544,526
  4. Step 4: Simplify right side
    266,048x = 296,508,564,676
  5. Step 5: Solve for x
    x = 296,508,564,676/266,048
  6. Step 6: Final answer
    x = 1,114,492.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.