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Finding the Third Proportional to 357,135 and 485,032

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Solution

The third proportional to 357,135 and 485,032 is: 658,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,135 : 485,032 = 485,032 : x
  2. Step 2: Convert to fraction form
    357,135/485,032 = 485,032/x
  3. Step 3: Cross multiply
    357,135x = 485,032 × 485,032
  4. Step 4: Simplify right side
    357,135x = 235,256,041,024
  5. Step 5: Solve for x
    x = 235,256,041,024/357,135
  6. Step 6: Final answer
    x = 658,731.41

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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.