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Finding the Third Proportional to 242,012 and 526,012

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Solution

The third proportional to 242,012 and 526,012 is: 1,143,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,012 : 526,012 = 526,012 : x
  2. Step 2: Convert to fraction form
    242,012/526,012 = 526,012/x
  3. Step 3: Cross multiply
    242,012x = 526,012 × 526,012
  4. Step 4: Simplify right side
    242,012x = 276,688,624,144
  5. Step 5: Solve for x
    x = 276,688,624,144/242,012
  6. Step 6: Final answer
    x = 1,143,284.73

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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.