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Finding the Third Proportional to 373,759 and 877,457

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Solution

The third proportional to 373,759 and 877,457 is: 2,059,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,759 : 877,457 = 877,457 : x
  2. Step 2: Convert to fraction form
    373,759/877,457 = 877,457/x
  3. Step 3: Cross multiply
    373,759x = 877,457 × 877,457
  4. Step 4: Simplify right side
    373,759x = 769,930,786,849
  5. Step 5: Solve for x
    x = 769,930,786,849/373,759
  6. Step 6: Final answer
    x = 2,059,965.88

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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.