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Finding the Third Proportional to 339,130 and 716,060

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Solution

The third proportional to 339,130 and 716,060 is: 1,511,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,130 : 716,060 = 716,060 : x
  2. Step 2: Convert to fraction form
    339,130/716,060 = 716,060/x
  3. Step 3: Cross multiply
    339,130x = 716,060 × 716,060
  4. Step 4: Simplify right side
    339,130x = 512,741,923,600
  5. Step 5: Solve for x
    x = 512,741,923,600/339,130
  6. Step 6: Final answer
    x = 1,511,933.25

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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.