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Finding the Third Proportional to 242,014 and 526,016

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Solution

The third proportional to 242,014 and 526,016 is: 1,143,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,014 : 526,016 = 526,016 : x
  2. Step 2: Convert to fraction form
    242,014/526,016 = 526,016/x
  3. Step 3: Cross multiply
    242,014x = 526,016 × 526,016
  4. Step 4: Simplify right side
    242,014x = 276,692,832,256
  5. Step 5: Solve for x
    x = 276,692,832,256/242,014
  6. Step 6: Final answer
    x = 1,143,292.67

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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.