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Finding the Third Proportional to 498,924 and 768,069

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Solution

The third proportional to 498,924 and 768,069 is: 1,182,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,924 : 768,069 = 768,069 : x
  2. Step 2: Convert to fraction form
    498,924/768,069 = 768,069/x
  3. Step 3: Cross multiply
    498,924x = 768,069 × 768,069
  4. Step 4: Simplify right side
    498,924x = 589,929,988,761
  5. Step 5: Solve for x
    x = 589,929,988,761/498,924
  6. Step 6: Final answer
    x = 1,182,404.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.