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Finding the Third Proportional to 312,431 and 672,328

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Solution

The third proportional to 312,431 and 672,328 is: 1,446,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,431 : 672,328 = 672,328 : x
  2. Step 2: Convert to fraction form
    312,431/672,328 = 672,328/x
  3. Step 3: Cross multiply
    312,431x = 672,328 × 672,328
  4. Step 4: Simplify right side
    312,431x = 452,024,939,584
  5. Step 5: Solve for x
    x = 452,024,939,584/312,431
  6. Step 6: Final answer
    x = 1,446,799.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.