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Finding the Third Proportional to 512,724 and 795,951

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Solution

The third proportional to 512,724 and 795,951 is: 1,235,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,724 : 795,951 = 795,951 : x
  2. Step 2: Convert to fraction form
    512,724/795,951 = 795,951/x
  3. Step 3: Cross multiply
    512,724x = 795,951 × 795,951
  4. Step 4: Simplify right side
    512,724x = 633,537,994,401
  5. Step 5: Solve for x
    x = 633,537,994,401/512,724
  6. Step 6: Final answer
    x = 1,235,631.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.