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Finding the Third Proportional to 385,788 and 589,800

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Solution

The third proportional to 385,788 and 589,800 is: 901,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,788 : 589,800 = 589,800 : x
  2. Step 2: Convert to fraction form
    385,788/589,800 = 589,800/x
  3. Step 3: Cross multiply
    385,788x = 589,800 × 589,800
  4. Step 4: Simplify right side
    385,788x = 347,864,040,000
  5. Step 5: Solve for x
    x = 347,864,040,000/385,788
  6. Step 6: Final answer
    x = 901,697.41

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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.