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Finding the Third Proportional to 340,465 and 526,847

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Solution

The third proportional to 340,465 and 526,847 is: 815,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,465 : 526,847 = 526,847 : x
  2. Step 2: Convert to fraction form
    340,465/526,847 = 526,847/x
  3. Step 3: Cross multiply
    340,465x = 526,847 × 526,847
  4. Step 4: Simplify right side
    340,465x = 277,567,761,409
  5. Step 5: Solve for x
    x = 277,567,761,409/340,465
  6. Step 6: Final answer
    x = 815,260.78

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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.