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Finding the Third Proportional to 350,089 and 749,993

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Solution

The third proportional to 350,089 and 749,993 is: 1,606,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,089 : 749,993 = 749,993 : x
  2. Step 2: Convert to fraction form
    350,089/749,993 = 749,993/x
  3. Step 3: Cross multiply
    350,089x = 749,993 × 749,993
  4. Step 4: Simplify right side
    350,089x = 562,489,500,049
  5. Step 5: Solve for x
    x = 562,489,500,049/350,089
  6. Step 6: Final answer
    x = 1,606,704.30

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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.