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Finding the Third Proportional to 434,880 and 958,050

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Solution

The third proportional to 434,880 and 958,050 is: 2,110,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,880 : 958,050 = 958,050 : x
  2. Step 2: Convert to fraction form
    434,880/958,050 = 958,050/x
  3. Step 3: Cross multiply
    434,880x = 958,050 × 958,050
  4. Step 4: Simplify right side
    434,880x = 917,859,802,500
  5. Step 5: Solve for x
    x = 917,859,802,500/434,880
  6. Step 6: Final answer
    x = 2,110,604.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.