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Finding the Third Proportional to 373,760 and 877,456

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Solution

The third proportional to 373,760 and 877,456 is: 2,059,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,760 : 877,456 = 877,456 : x
  2. Step 2: Convert to fraction form
    373,760/877,456 = 877,456/x
  3. Step 3: Cross multiply
    373,760x = 877,456 × 877,456
  4. Step 4: Simplify right side
    373,760x = 769,929,031,936
  5. Step 5: Solve for x
    x = 769,929,031,936/373,760
  6. Step 6: Final answer
    x = 2,059,955.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.