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Finding the Third Proportional to 262,509 and 536,091

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Solution

The third proportional to 262,509 and 536,091 is: 1,094,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,509 : 536,091 = 536,091 : x
  2. Step 2: Convert to fraction form
    262,509/536,091 = 536,091/x
  3. Step 3: Cross multiply
    262,509x = 536,091 × 536,091
  4. Step 4: Simplify right side
    262,509x = 287,393,560,281
  5. Step 5: Solve for x
    x = 287,393,560,281/262,509
  6. Step 6: Final answer
    x = 1,094,795.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.