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Finding the Third Proportional to 499,563 and 761,859

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Solution

The third proportional to 499,563 and 761,859 is: 1,161,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,563 : 761,859 = 761,859 : x
  2. Step 2: Convert to fraction form
    499,563/761,859 = 761,859/x
  3. Step 3: Cross multiply
    499,563x = 761,859 × 761,859
  4. Step 4: Simplify right side
    499,563x = 580,429,135,881
  5. Step 5: Solve for x
    x = 580,429,135,881/499,563
  6. Step 6: Final answer
    x = 1,161,873.75

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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.