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Finding the Third Proportional to 388,796 and 599,788

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Solution

The third proportional to 388,796 and 599,788 is: 925,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,796 : 599,788 = 599,788 : x
  2. Step 2: Convert to fraction form
    388,796/599,788 = 599,788/x
  3. Step 3: Cross multiply
    388,796x = 599,788 × 599,788
  4. Step 4: Simplify right side
    388,796x = 359,745,644,944
  5. Step 5: Solve for x
    x = 359,745,644,944/388,796
  6. Step 6: Final answer
    x = 925,281.24

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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.