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Finding the Third Proportional to 633,416 and 950,958

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Solution

The third proportional to 633,416 and 950,958 is: 1,427,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,416 : 950,958 = 950,958 : x
  2. Step 2: Convert to fraction form
    633,416/950,958 = 950,958/x
  3. Step 3: Cross multiply
    633,416x = 950,958 × 950,958
  4. Step 4: Simplify right side
    633,416x = 904,321,117,764
  5. Step 5: Solve for x
    x = 904,321,117,764/633,416
  6. Step 6: Final answer
    x = 1,427,689.10

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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.