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Finding the Third Proportional to 339,126 and 716,052

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Solution

The third proportional to 339,126 and 716,052 is: 1,511,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,126 : 716,052 = 716,052 : x
  2. Step 2: Convert to fraction form
    339,126/716,052 = 716,052/x
  3. Step 3: Cross multiply
    339,126x = 716,052 × 716,052
  4. Step 4: Simplify right side
    339,126x = 512,730,466,704
  5. Step 5: Solve for x
    x = 512,730,466,704/339,126
  6. Step 6: Final answer
    x = 1,511,917.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.