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Finding the Third Proportional to 536,455 and 751,951

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Solution

The third proportional to 536,455 and 751,951 is: 1,054,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,455 : 751,951 = 751,951 : x
  2. Step 2: Convert to fraction form
    536,455/751,951 = 751,951/x
  3. Step 3: Cross multiply
    536,455x = 751,951 × 751,951
  4. Step 4: Simplify right side
    536,455x = 565,430,306,401
  5. Step 5: Solve for x
    x = 565,430,306,401/536,455
  6. Step 6: Final answer
    x = 1,054,012.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.