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Finding the Third Proportional to 536,463.75 and 751,962.75

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Solution

The third proportional to 536,463.75 and 751,962.75 is: 1,054,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,463.75 : 751,962.75 = 751,962.75 : x
  2. Step 2: Convert to fraction form
    536,463.75/751,962.75 = 751,962.75/x
  3. Step 3: Cross multiply
    536,463.75x = 751,962.75 × 751,962.75
  4. Step 4: Simplify right side
    536,463.75x = 565,447,977,387.56
  5. Step 5: Solve for x
    x = 565,447,977,387.56/536,463.75
  6. Step 6: Final answer
    x = 1,054,028.31

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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.