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Finding the Third Proportional to 208,704 and 446,952

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Solution

The third proportional to 208,704 and 446,952 is: 957,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,704 : 446,952 = 446,952 : x
  2. Step 2: Convert to fraction form
    208,704/446,952 = 446,952/x
  3. Step 3: Cross multiply
    208,704x = 446,952 × 446,952
  4. Step 4: Simplify right side
    208,704x = 199,766,090,304
  5. Step 5: Solve for x
    x = 199,766,090,304/208,704
  6. Step 6: Final answer
    x = 957,174.23

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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.