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Finding the Third Proportional to 536,573 and 752,055

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Solution

The third proportional to 536,573 and 752,055 is: 1,054,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,573 : 752,055 = 752,055 : x
  2. Step 2: Convert to fraction form
    536,573/752,055 = 752,055/x
  3. Step 3: Cross multiply
    536,573x = 752,055 × 752,055
  4. Step 4: Simplify right side
    536,573x = 565,586,723,025
  5. Step 5: Solve for x
    x = 565,586,723,025/536,573
  6. Step 6: Final answer
    x = 1,054,072.28

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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.