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Finding the Third Proportional to 282,008 and 431,949

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Solution

The third proportional to 282,008 and 431,949 is: 661,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,008 : 431,949 = 431,949 : x
  2. Step 2: Convert to fraction form
    282,008/431,949 = 431,949/x
  3. Step 3: Cross multiply
    282,008x = 431,949 × 431,949
  4. Step 4: Simplify right side
    282,008x = 186,579,938,601
  5. Step 5: Solve for x
    x = 186,579,938,601/282,008
  6. Step 6: Final answer
    x = 661,612.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.