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Finding the Third Proportional to 265,779 and 561,573

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Solution

The third proportional to 265,779 and 561,573 is: 1,186,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,779 : 561,573 = 561,573 : x
  2. Step 2: Convert to fraction form
    265,779/561,573 = 561,573/x
  3. Step 3: Cross multiply
    265,779x = 561,573 × 561,573
  4. Step 4: Simplify right side
    265,779x = 315,364,234,329
  5. Step 5: Solve for x
    x = 315,364,234,329/265,779
  6. Step 6: Final answer
    x = 1,186,565.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.