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Finding the Third Proportional to 242,652 and 524,760

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Solution

The third proportional to 242,652 and 524,760 is: 1,134,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,652 : 524,760 = 524,760 : x
  2. Step 2: Convert to fraction form
    242,652/524,760 = 524,760/x
  3. Step 3: Cross multiply
    242,652x = 524,760 × 524,760
  4. Step 4: Simplify right side
    242,652x = 275,373,057,600
  5. Step 5: Solve for x
    x = 275,373,057,600/242,652
  6. Step 6: Final answer
    x = 1,134,847.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.