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Finding the Third Proportional to 199,762 and 427,954

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Solution

The third proportional to 199,762 and 427,954 is: 916,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,762 : 427,954 = 427,954 : x
  2. Step 2: Convert to fraction form
    199,762/427,954 = 427,954/x
  3. Step 3: Cross multiply
    199,762x = 427,954 × 427,954
  4. Step 4: Simplify right side
    199,762x = 183,144,626,116
  5. Step 5: Solve for x
    x = 183,144,626,116/199,762
  6. Step 6: Final answer
    x = 916,814.14

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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.