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Finding the Third Proportional to 341,296 and 459,452

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Solution

The third proportional to 341,296 and 459,452 is: 618,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,296 : 459,452 = 459,452 : x
  2. Step 2: Convert to fraction form
    341,296/459,452 = 459,452/x
  3. Step 3: Cross multiply
    341,296x = 459,452 × 459,452
  4. Step 4: Simplify right side
    341,296x = 211,096,140,304
  5. Step 5: Solve for x
    x = 211,096,140,304/341,296
  6. Step 6: Final answer
    x = 618,513.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.