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Finding the Third Proportional to 337,346 and 526,756

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Solution

The third proportional to 337,346 and 526,756 is: 822,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,346 : 526,756 = 526,756 : x
  2. Step 2: Convert to fraction form
    337,346/526,756 = 526,756/x
  3. Step 3: Cross multiply
    337,346x = 526,756 × 526,756
  4. Step 4: Simplify right side
    337,346x = 277,471,883,536
  5. Step 5: Solve for x
    x = 277,471,883,536/337,346
  6. Step 6: Final answer
    x = 822,514.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.