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Finding the Third Proportional to 512,122 and 737,730

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Solution

The third proportional to 512,122 and 737,730 is: 1,062,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,122 : 737,730 = 737,730 : x
  2. Step 2: Convert to fraction form
    512,122/737,730 = 737,730/x
  3. Step 3: Cross multiply
    512,122x = 737,730 × 737,730
  4. Step 4: Simplify right side
    512,122x = 544,245,552,900
  5. Step 5: Solve for x
    x = 544,245,552,900/512,122
  6. Step 6: Final answer
    x = 1,062,726.37

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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.