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Finding the Third Proportional to 638,523 and 956,025

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Solution

The third proportional to 638,523 and 956,025 is: 1,431,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,523 : 956,025 = 956,025 : x
  2. Step 2: Convert to fraction form
    638,523/956,025 = 956,025/x
  3. Step 3: Cross multiply
    638,523x = 956,025 × 956,025
  4. Step 4: Simplify right side
    638,523x = 913,983,800,625
  5. Step 5: Solve for x
    x = 913,983,800,625/638,523
  6. Step 6: Final answer
    x = 1,431,403.10

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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.