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Finding the Third Proportional to 338,095 and 526,529

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Solution

The third proportional to 338,095 and 526,529 is: 819,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,095 : 526,529 = 526,529 : x
  2. Step 2: Convert to fraction form
    338,095/526,529 = 526,529/x
  3. Step 3: Cross multiply
    338,095x = 526,529 × 526,529
  4. Step 4: Simplify right side
    338,095x = 277,232,787,841
  5. Step 5: Solve for x
    x = 277,232,787,841/338,095
  6. Step 6: Final answer
    x = 819,984.88

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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.