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Finding the Third Proportional to 435,000 and 958,296

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Solution

The third proportional to 435,000 and 958,296 is: 2,111,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,000 : 958,296 = 958,296 : x
  2. Step 2: Convert to fraction form
    435,000/958,296 = 958,296/x
  3. Step 3: Cross multiply
    435,000x = 958,296 × 958,296
  4. Step 4: Simplify right side
    435,000x = 918,331,223,616
  5. Step 5: Solve for x
    x = 918,331,223,616/435,000
  6. Step 6: Final answer
    x = 2,111,106.26

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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.