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Finding the Third Proportional to 263,070 and 568,179

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Solution

The third proportional to 263,070 and 568,179 is: 1,227,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,070 : 568,179 = 568,179 : x
  2. Step 2: Convert to fraction form
    263,070/568,179 = 568,179/x
  3. Step 3: Cross multiply
    263,070x = 568,179 × 568,179
  4. Step 4: Simplify right side
    263,070x = 322,827,376,041
  5. Step 5: Solve for x
    x = 322,827,376,041/263,070
  6. Step 6: Final answer
    x = 1,227,153.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.