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Finding the Third Proportional to 343,296 and 502,656

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Solution

The third proportional to 343,296 and 502,656 is: 735,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,296 : 502,656 = 502,656 : x
  2. Step 2: Convert to fraction form
    343,296/502,656 = 502,656/x
  3. Step 3: Cross multiply
    343,296x = 502,656 × 502,656
  4. Step 4: Simplify right side
    343,296x = 252,663,054,336
  5. Step 5: Solve for x
    x = 252,663,054,336/343,296
  6. Step 6: Final answer
    x = 735,991.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.