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Finding the Third Proportional to 432,348 and 646,794

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Solution

The third proportional to 432,348 and 646,794 is: 967,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,348 : 646,794 = 646,794 : x
  2. Step 2: Convert to fraction form
    432,348/646,794 = 646,794/x
  3. Step 3: Cross multiply
    432,348x = 646,794 × 646,794
  4. Step 4: Simplify right side
    432,348x = 418,342,478,436
  5. Step 5: Solve for x
    x = 418,342,478,436/432,348
  6. Step 6: Final answer
    x = 967,605.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.