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Finding the Third Proportional to 282,278 and 438,969

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Solution

The third proportional to 282,278 and 438,969 is: 682,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,278 : 438,969 = 438,969 : x
  2. Step 2: Convert to fraction form
    282,278/438,969 = 438,969/x
  3. Step 3: Cross multiply
    282,278x = 438,969 × 438,969
  4. Step 4: Simplify right side
    282,278x = 192,693,782,961
  5. Step 5: Solve for x
    x = 192,693,782,961/282,278
  6. Step 6: Final answer
    x = 682,638.33

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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.