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Finding the Third Proportional to 413,108 and 611,968

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Solution

The third proportional to 413,108 and 611,968 is: 906,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,108 : 611,968 = 611,968 : x
  2. Step 2: Convert to fraction form
    413,108/611,968 = 611,968/x
  3. Step 3: Cross multiply
    413,108x = 611,968 × 611,968
  4. Step 4: Simplify right side
    413,108x = 374,504,833,024
  5. Step 5: Solve for x
    x = 374,504,833,024/413,108
  6. Step 6: Final answer
    x = 906,554.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.