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Finding the Third Proportional to 376,542 and 526,671

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Solution

The third proportional to 376,542 and 526,671 is: 736,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,542 : 526,671 = 526,671 : x
  2. Step 2: Convert to fraction form
    376,542/526,671 = 526,671/x
  3. Step 3: Cross multiply
    376,542x = 526,671 × 526,671
  4. Step 4: Simplify right side
    376,542x = 277,382,342,241
  5. Step 5: Solve for x
    x = 277,382,342,241/376,542
  6. Step 6: Final answer
    x = 736,657.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.