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Finding the Third Proportional to 362,408 and 736,844

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Solution

The third proportional to 362,408 and 736,844 is: 1,498,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,408 : 736,844 = 736,844 : x
  2. Step 2: Convert to fraction form
    362,408/736,844 = 736,844/x
  3. Step 3: Cross multiply
    362,408x = 736,844 × 736,844
  4. Step 4: Simplify right side
    362,408x = 542,939,080,336
  5. Step 5: Solve for x
    x = 542,939,080,336/362,408
  6. Step 6: Final answer
    x = 1,498,143.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.