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Finding the Third Proportional to 350,981 and 758,005

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Solution

The third proportional to 350,981 and 758,005 is: 1,637,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,981 : 758,005 = 758,005 : x
  2. Step 2: Convert to fraction form
    350,981/758,005 = 758,005/x
  3. Step 3: Cross multiply
    350,981x = 758,005 × 758,005
  4. Step 4: Simplify right side
    350,981x = 574,571,580,025
  5. Step 5: Solve for x
    x = 574,571,580,025/350,981
  6. Step 6: Final answer
    x = 1,637,044.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.