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Finding the Third Proportional to 633,414 and 950,955

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Solution

The third proportional to 633,414 and 950,955 is: 1,427,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,414 : 950,955 = 950,955 : x
  2. Step 2: Convert to fraction form
    633,414/950,955 = 950,955/x
  3. Step 3: Cross multiply
    633,414x = 950,955 × 950,955
  4. Step 4: Simplify right side
    633,414x = 904,315,412,025
  5. Step 5: Solve for x
    x = 904,315,412,025/633,414
  6. Step 6: Final answer
    x = 1,427,684.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.