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Finding the Third Proportional to 357,145 and 485,041

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Solution

The third proportional to 357,145 and 485,041 is: 658,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,145 : 485,041 = 485,041 : x
  2. Step 2: Convert to fraction form
    357,145/485,041 = 485,041/x
  3. Step 3: Cross multiply
    357,145x = 485,041 × 485,041
  4. Step 4: Simplify right side
    357,145x = 235,264,771,681
  5. Step 5: Solve for x
    x = 235,264,771,681/357,145
  6. Step 6: Final answer
    x = 658,737.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.