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Finding the Third Proportional to 208,722 and 446,959

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Solution

The third proportional to 208,722 and 446,959 is: 957,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,722 : 446,959 = 446,959 : x
  2. Step 2: Convert to fraction form
    208,722/446,959 = 446,959/x
  3. Step 3: Cross multiply
    208,722x = 446,959 × 446,959
  4. Step 4: Simplify right side
    208,722x = 199,772,347,681
  5. Step 5: Solve for x
    x = 199,772,347,681/208,722
  6. Step 6: Final answer
    x = 957,121.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.