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Finding the Third Proportional to 512,142 and 737,709

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Solution

The third proportional to 512,142 and 737,709 is: 1,062,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,142 : 737,709 = 737,709 : x
  2. Step 2: Convert to fraction form
    512,142/737,709 = 737,709/x
  3. Step 3: Cross multiply
    512,142x = 737,709 × 737,709
  4. Step 4: Simplify right side
    512,142x = 544,214,568,681
  5. Step 5: Solve for x
    x = 544,214,568,681/512,142
  6. Step 6: Final answer
    x = 1,062,624.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.