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Finding the Third Proportional to 350,992 and 758,026

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Solution

The third proportional to 350,992 and 758,026 is: 1,637,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,992 : 758,026 = 758,026 : x
  2. Step 2: Convert to fraction form
    350,992/758,026 = 758,026/x
  3. Step 3: Cross multiply
    350,992x = 758,026 × 758,026
  4. Step 4: Simplify right side
    350,992x = 574,603,416,676
  5. Step 5: Solve for x
    x = 574,603,416,676/350,992
  6. Step 6: Final answer
    x = 1,637,084.08

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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.