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Finding the Third Proportional to 421,740 and 496,098

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Solution

The third proportional to 421,740 and 496,098 is: 583,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,740 : 496,098 = 496,098 : x
  2. Step 2: Convert to fraction form
    421,740/496,098 = 496,098/x
  3. Step 3: Cross multiply
    421,740x = 496,098 × 496,098
  4. Step 4: Simplify right side
    421,740x = 246,113,225,604
  5. Step 5: Solve for x
    x = 246,113,225,604/421,740
  6. Step 6: Final answer
    x = 583,566.24

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.