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Finding the Third Proportional to 242,606 and 526,652

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Solution

The third proportional to 242,606 and 526,652 is: 1,143,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,606 : 526,652 = 526,652 : x
  2. Step 2: Convert to fraction form
    242,606/526,652 = 526,652/x
  3. Step 3: Cross multiply
    242,606x = 526,652 × 526,652
  4. Step 4: Simplify right side
    242,606x = 277,362,329,104
  5. Step 5: Solve for x
    x = 277,362,329,104/242,606
  6. Step 6: Final answer
    x = 1,143,262.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.