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Finding the Third Proportional to 262,537.88 and 536,162.63

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Solution

The third proportional to 262,537.88 and 536,162.63 is: 1,094,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,537.88 : 536,162.63 = 536,162.63 : x
  2. Step 2: Convert to fraction form
    262,537.88/536,162.63 = 536,162.63/x
  3. Step 3: Cross multiply
    262,537.88x = 536,162.63 × 536,162.63
  4. Step 4: Simplify right side
    262,537.88x = 287,470,360,446.89
  5. Step 5: Solve for x
    x = 287,470,360,446.89/262,537.88
  6. Step 6: Final answer
    x = 1,094,967.19

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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.