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Finding the Third Proportional to 338,123 and 526,544

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Solution

The third proportional to 338,123 and 526,544 is: 819,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,123 : 526,544 = 526,544 : x
  2. Step 2: Convert to fraction form
    338,123/526,544 = 526,544/x
  3. Step 3: Cross multiply
    338,123x = 526,544 × 526,544
  4. Step 4: Simplify right side
    338,123x = 277,248,583,936
  5. Step 5: Solve for x
    x = 277,248,583,936/338,123
  6. Step 6: Final answer
    x = 819,963.69

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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.