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Finding the Third Proportional to 273,537 and 568,818

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Solution

The third proportional to 273,537 and 568,818 is: 1,182,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,537 : 568,818 = 568,818 : x
  2. Step 2: Convert to fraction form
    273,537/568,818 = 568,818/x
  3. Step 3: Cross multiply
    273,537x = 568,818 × 568,818
  4. Step 4: Simplify right side
    273,537x = 323,553,917,124
  5. Step 5: Solve for x
    x = 323,553,917,124/273,537
  6. Step 6: Final answer
    x = 1,182,852.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.