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Finding the Third Proportional to 341,330 and 459,498

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Solution

The third proportional to 341,330 and 459,498 is: 618,575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,330 : 459,498 = 459,498 : x
  2. Step 2: Convert to fraction form
    341,330/459,498 = 459,498/x
  3. Step 3: Cross multiply
    341,330x = 459,498 × 459,498
  4. Step 4: Simplify right side
    341,330x = 211,138,412,004
  5. Step 5: Solve for x
    x = 211,138,412,004/341,330
  6. Step 6: Final answer
    x = 618,575.61

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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.