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Finding the Third Proportional to 407,819 and 599,826

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Solution

The third proportional to 407,819 and 599,826 is: 882,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,819 : 599,826 = 599,826 : x
  2. Step 2: Convert to fraction form
    407,819/599,826 = 599,826/x
  3. Step 3: Cross multiply
    407,819x = 599,826 × 599,826
  4. Step 4: Simplify right side
    407,819x = 359,791,230,276
  5. Step 5: Solve for x
    x = 359,791,230,276/407,819
  6. Step 6: Final answer
    x = 882,232.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.