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Finding the Third Proportional to 494,740 and 751,550

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Solution

The third proportional to 494,740 and 751,550 is: 1,141,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,740 : 751,550 = 751,550 : x
  2. Step 2: Convert to fraction form
    494,740/751,550 = 751,550/x
  3. Step 3: Cross multiply
    494,740x = 751,550 × 751,550
  4. Step 4: Simplify right side
    494,740x = 564,827,402,500
  5. Step 5: Solve for x
    x = 564,827,402,500/494,740
  6. Step 6: Final answer
    x = 1,141,665.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.