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Finding the Third Proportional to 499,096 and 747,786

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Solution

The third proportional to 499,096 and 747,786 is: 1,120,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,096 : 747,786 = 747,786 : x
  2. Step 2: Convert to fraction form
    499,096/747,786 = 747,786/x
  3. Step 3: Cross multiply
    499,096x = 747,786 × 747,786
  4. Step 4: Simplify right side
    499,096x = 559,183,901,796
  5. Step 5: Solve for x
    x = 559,183,901,796/499,096
  6. Step 6: Final answer
    x = 1,120,393.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.