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Finding the Third Proportional to 248,962 and 373,624

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Solution

The third proportional to 248,962 and 373,624 is: 560,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,962 : 373,624 = 373,624 : x
  2. Step 2: Convert to fraction form
    248,962/373,624 = 373,624/x
  3. Step 3: Cross multiply
    248,962x = 373,624 × 373,624
  4. Step 4: Simplify right side
    248,962x = 139,594,893,376
  5. Step 5: Solve for x
    x = 139,594,893,376/248,962
  6. Step 6: Final answer
    x = 560,707.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.