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Finding the Third Proportional to 286,997 and 446,898

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Solution

The third proportional to 286,997 and 446,898 is: 695,888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,997 : 446,898 = 446,898 : x
  2. Step 2: Convert to fraction form
    286,997/446,898 = 446,898/x
  3. Step 3: Cross multiply
    286,997x = 446,898 × 446,898
  4. Step 4: Simplify right side
    286,997x = 199,717,822,404
  5. Step 5: Solve for x
    x = 199,717,822,404/286,997
  6. Step 6: Final answer
    x = 695,888.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.