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Finding the Third Proportional to 349,968 and 749,505

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Solution

The third proportional to 349,968 and 749,505 is: 1,605,168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,968 : 749,505 = 749,505 : x
  2. Step 2: Convert to fraction form
    349,968/749,505 = 749,505/x
  3. Step 3: Cross multiply
    349,968x = 749,505 × 749,505
  4. Step 4: Simplify right side
    349,968x = 561,757,745,025
  5. Step 5: Solve for x
    x = 561,757,745,025/349,968
  6. Step 6: Final answer
    x = 1,605,168.89

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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.