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Finding the Third Proportional to 248,220 and 535,796

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Solution

The third proportional to 248,220 and 535,796 is: 1,156,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,220 : 535,796 = 535,796 : x
  2. Step 2: Convert to fraction form
    248,220/535,796 = 535,796/x
  3. Step 3: Cross multiply
    248,220x = 535,796 × 535,796
  4. Step 4: Simplify right side
    248,220x = 287,077,353,616
  5. Step 5: Solve for x
    x = 287,077,353,616/248,220
  6. Step 6: Final answer
    x = 1,156,544.01

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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.