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Finding the Third Proportional to 338,740 and 736,530

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Solution

The third proportional to 338,740 and 736,530 is: 1,601,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,740 : 736,530 = 736,530 : x
  2. Step 2: Convert to fraction form
    338,740/736,530 = 736,530/x
  3. Step 3: Cross multiply
    338,740x = 736,530 × 736,530
  4. Step 4: Simplify right side
    338,740x = 542,476,440,900
  5. Step 5: Solve for x
    x = 542,476,440,900/338,740
  6. Step 6: Final answer
    x = 1,601,453.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.