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Finding the Third Proportional to 355,024 and 485,038

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Solution

The third proportional to 355,024 and 485,038 is: 662,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,024 : 485,038 = 485,038 : x
  2. Step 2: Convert to fraction form
    355,024/485,038 = 485,038/x
  3. Step 3: Cross multiply
    355,024x = 485,038 × 485,038
  4. Step 4: Simplify right side
    355,024x = 235,261,861,444
  5. Step 5: Solve for x
    x = 235,261,861,444/355,024
  6. Step 6: Final answer
    x = 662,664.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.