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Finding the Third Proportional to 434,254.50 and 956,855.25

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Solution

The third proportional to 434,254.50 and 956,855.25 is: 2,108,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,254.50 : 956,855.25 = 956,855.25 : x
  2. Step 2: Convert to fraction form
    434,254.50/956,855.25 = 956,855.25/x
  3. Step 3: Cross multiply
    434,254.50x = 956,855.25 × 956,855.25
  4. Step 4: Simplify right side
    434,254.50x = 915,571,969,452.56
  5. Step 5: Solve for x
    x = 915,571,969,452.56/434,254.50
  6. Step 6: Final answer
    x = 2,108,376.47

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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.