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Finding the Third Proportional to 630,384 and 957,234

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Solution

The third proportional to 630,384 and 957,234 is: 1,453,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,384 : 957,234 = 957,234 : x
  2. Step 2: Convert to fraction form
    630,384/957,234 = 957,234/x
  3. Step 3: Cross multiply
    630,384x = 957,234 × 957,234
  4. Step 4: Simplify right side
    630,384x = 916,296,930,756
  5. Step 5: Solve for x
    x = 916,296,930,756/630,384
  6. Step 6: Final answer
    x = 1,453,553.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.