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Finding the Third Proportional to 266,724 and 579,237

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Solution

The third proportional to 266,724 and 579,237 is: 1,257,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,724 : 579,237 = 579,237 : x
  2. Step 2: Convert to fraction form
    266,724/579,237 = 579,237/x
  3. Step 3: Cross multiply
    266,724x = 579,237 × 579,237
  4. Step 4: Simplify right side
    266,724x = 335,515,502,169
  5. Step 5: Solve for x
    x = 335,515,502,169/266,724
  6. Step 6: Final answer
    x = 1,257,912.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.