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Finding the Third Proportional to 205,610 and 475,959

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Solution

The third proportional to 205,610 and 475,959 is: 1,101,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,610 : 475,959 = 475,959 : x
  2. Step 2: Convert to fraction form
    205,610/475,959 = 475,959/x
  3. Step 3: Cross multiply
    205,610x = 475,959 × 475,959
  4. Step 4: Simplify right side
    205,610x = 226,536,969,681
  5. Step 5: Solve for x
    x = 226,536,969,681/205,610
  6. Step 6: Final answer
    x = 1,101,779.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.