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Finding the Third Proportional to 341,302 and 459,460

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Solution

The third proportional to 341,302 and 459,460 is: 618,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,302 : 459,460 = 459,460 : x
  2. Step 2: Convert to fraction form
    341,302/459,460 = 459,460/x
  3. Step 3: Cross multiply
    341,302x = 459,460 × 459,460
  4. Step 4: Simplify right side
    341,302x = 211,103,491,600
  5. Step 5: Solve for x
    x = 211,103,491,600/341,302
  6. Step 6: Final answer
    x = 618,524.04

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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.