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Finding the Third Proportional to 373,493 and 536,911

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Solution

The third proportional to 373,493 and 536,911 is: 771,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,493 : 536,911 = 536,911 : x
  2. Step 2: Convert to fraction form
    373,493/536,911 = 536,911/x
  3. Step 3: Cross multiply
    373,493x = 536,911 × 536,911
  4. Step 4: Simplify right side
    373,493x = 288,273,421,921
  5. Step 5: Solve for x
    x = 288,273,421,921/373,493
  6. Step 6: Final answer
    x = 771,830.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.