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Finding the Third Proportional to 242,378 and 520,740

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Solution

The third proportional to 242,378 and 520,740 is: 1,118,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,378 : 520,740 = 520,740 : x
  2. Step 2: Convert to fraction form
    242,378/520,740 = 520,740/x
  3. Step 3: Cross multiply
    242,378x = 520,740 × 520,740
  4. Step 4: Simplify right side
    242,378x = 271,170,147,600
  5. Step 5: Solve for x
    x = 271,170,147,600/242,378
  6. Step 6: Final answer
    x = 1,118,790.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.