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Finding the Third Proportional to 499,599 and 761,913

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Solution

The third proportional to 499,599 and 761,913 is: 1,161,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,599 : 761,913 = 761,913 : x
  2. Step 2: Convert to fraction form
    499,599/761,913 = 761,913/x
  3. Step 3: Cross multiply
    499,599x = 761,913 × 761,913
  4. Step 4: Simplify right side
    499,599x = 580,511,419,569
  5. Step 5: Solve for x
    x = 580,511,419,569/499,599
  6. Step 6: Final answer
    x = 1,161,954.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.