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Finding the Third Proportional to 440,960 and 699,156

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Solution

The third proportional to 440,960 and 699,156 is: 1,108,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,960 : 699,156 = 699,156 : x
  2. Step 2: Convert to fraction form
    440,960/699,156 = 699,156/x
  3. Step 3: Cross multiply
    440,960x = 699,156 × 699,156
  4. Step 4: Simplify right side
    440,960x = 488,819,112,336
  5. Step 5: Solve for x
    x = 488,819,112,336/440,960
  6. Step 6: Final answer
    x = 1,108,533.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.