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Finding the Third Proportional to 334,576 and 736,544

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Solution

The third proportional to 334,576 and 736,544 is: 1,621,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,576 : 736,544 = 736,544 : x
  2. Step 2: Convert to fraction form
    334,576/736,544 = 736,544/x
  3. Step 3: Cross multiply
    334,576x = 736,544 × 736,544
  4. Step 4: Simplify right side
    334,576x = 542,497,063,936
  5. Step 5: Solve for x
    x = 542,497,063,936/334,576
  6. Step 6: Final answer
    x = 1,621,446.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.