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Finding the Third Proportional to 355,438.13 and 461,107.69

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Solution

The third proportional to 355,438.13 and 461,107.69 is: 598,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,438.13 : 461,107.69 = 461,107.69 : x
  2. Step 2: Convert to fraction form
    355,438.13/461,107.69 = 461,107.69/x
  3. Step 3: Cross multiply
    355,438.13x = 461,107.69 × 461,107.69
  4. Step 4: Simplify right side
    355,438.13x = 212,620,299,471.60
  5. Step 5: Solve for x
    x = 212,620,299,471.60/355,438.13
  6. Step 6: Final answer
    x = 598,192.16

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.