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Finding the Third Proportional to 341,328 and 459,495

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Solution

The third proportional to 341,328 and 459,495 is: 618,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,328 : 459,495 = 459,495 : x
  2. Step 2: Convert to fraction form
    341,328/459,495 = 459,495/x
  3. Step 3: Cross multiply
    341,328x = 459,495 × 459,495
  4. Step 4: Simplify right side
    341,328x = 211,135,655,025
  5. Step 5: Solve for x
    x = 211,135,655,025/341,328
  6. Step 6: Final answer
    x = 618,571.15

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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.