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Finding the Third Proportional to 355,059 and 736,326

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Solution

The third proportional to 355,059 and 736,326 is: 1,527,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,059 : 736,326 = 736,326 : x
  2. Step 2: Convert to fraction form
    355,059/736,326 = 736,326/x
  3. Step 3: Cross multiply
    355,059x = 736,326 × 736,326
  4. Step 4: Simplify right side
    355,059x = 542,175,978,276
  5. Step 5: Solve for x
    x = 542,175,978,276/355,059
  6. Step 6: Final answer
    x = 1,527,002.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.