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Finding the Third Proportional to 248,800 and 536,896

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Solution

The third proportional to 248,800 and 536,896 is: 1,158,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,800 : 536,896 = 536,896 : x
  2. Step 2: Convert to fraction form
    248,800/536,896 = 536,896/x
  3. Step 3: Cross multiply
    248,800x = 536,896 × 536,896
  4. Step 4: Simplify right side
    248,800x = 288,257,314,816
  5. Step 5: Solve for x
    x = 288,257,314,816/248,800
  6. Step 6: Final answer
    x = 1,158,590.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.