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Finding the Third Proportional to 339,550 and 700,622

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Solution

The third proportional to 339,550 and 700,622 is: 1,445,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,550 : 700,622 = 700,622 : x
  2. Step 2: Convert to fraction form
    339,550/700,622 = 700,622/x
  3. Step 3: Cross multiply
    339,550x = 700,622 × 700,622
  4. Step 4: Simplify right side
    339,550x = 490,871,186,884
  5. Step 5: Solve for x
    x = 490,871,186,884/339,550
  6. Step 6: Final answer
    x = 1,445,652.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.