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Finding the Third Proportional to 312,026 and 736,324

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Solution

The third proportional to 312,026 and 736,324 is: 1,737,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,026 : 736,324 = 736,324 : x
  2. Step 2: Convert to fraction form
    312,026/736,324 = 736,324/x
  3. Step 3: Cross multiply
    312,026x = 736,324 × 736,324
  4. Step 4: Simplify right side
    312,026x = 542,173,032,976
  5. Step 5: Solve for x
    x = 542,173,032,976/312,026
  6. Step 6: Final answer
    x = 1,737,589.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.