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Finding the Third Proportional to 435,341 and 672,713

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Solution

The third proportional to 435,341 and 672,713 is: 1,039,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,341 : 672,713 = 672,713 : x
  2. Step 2: Convert to fraction form
    435,341/672,713 = 672,713/x
  3. Step 3: Cross multiply
    435,341x = 672,713 × 672,713
  4. Step 4: Simplify right side
    435,341x = 452,542,780,369
  5. Step 5: Solve for x
    x = 452,542,780,369/435,341
  6. Step 6: Final answer
    x = 1,039,513.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.