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Finding the Third Proportional to 266,283 and 579,222

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Solution

The third proportional to 266,283 and 579,222 is: 1,259,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,283 : 579,222 = 579,222 : x
  2. Step 2: Convert to fraction form
    266,283/579,222 = 579,222/x
  3. Step 3: Cross multiply
    266,283x = 579,222 × 579,222
  4. Step 4: Simplify right side
    266,283x = 335,498,125,284
  5. Step 5: Solve for x
    x = 335,498,125,284/266,283
  6. Step 6: Final answer
    x = 1,259,930.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.