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Finding the Third Proportional to 435,342 and 672,714

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Solution

The third proportional to 435,342 and 672,714 is: 1,039,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,342 : 672,714 = 672,714 : x
  2. Step 2: Convert to fraction form
    435,342/672,714 = 672,714/x
  3. Step 3: Cross multiply
    435,342x = 672,714 × 672,714
  4. Step 4: Simplify right side
    435,342x = 452,544,125,796
  5. Step 5: Solve for x
    x = 452,544,125,796/435,342
  6. Step 6: Final answer
    x = 1,039,514.05

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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.