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Finding the Third Proportional to 263,054 and 579,730

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Solution

The third proportional to 263,054 and 579,730 is: 1,277,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,054 : 579,730 = 579,730 : x
  2. Step 2: Convert to fraction form
    263,054/579,730 = 579,730/x
  3. Step 3: Cross multiply
    263,054x = 579,730 × 579,730
  4. Step 4: Simplify right side
    263,054x = 336,086,872,900
  5. Step 5: Solve for x
    x = 336,086,872,900/263,054
  6. Step 6: Final answer
    x = 1,277,634.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.