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Finding the Third Proportional to 343,099 and 756,002

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Solution

The third proportional to 343,099 and 756,002 is: 1,665,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,099 : 756,002 = 756,002 : x
  2. Step 2: Convert to fraction form
    343,099/756,002 = 756,002/x
  3. Step 3: Cross multiply
    343,099x = 756,002 × 756,002
  4. Step 4: Simplify right side
    343,099x = 571,539,024,004
  5. Step 5: Solve for x
    x = 571,539,024,004/343,099
  6. Step 6: Final answer
    x = 1,665,813.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.