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Finding the Third Proportional to 250,544 and 525,704

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Solution

The third proportional to 250,544 and 525,704 is: 1,103,058.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,544 : 525,704 = 525,704 : x
  2. Step 2: Convert to fraction form
    250,544/525,704 = 525,704/x
  3. Step 3: Cross multiply
    250,544x = 525,704 × 525,704
  4. Step 4: Simplify right side
    250,544x = 276,364,695,616
  5. Step 5: Solve for x
    x = 276,364,695,616/250,544
  6. Step 6: Final answer
    x = 1,103,058.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.