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Finding the Third Proportional to 385,872 and 589,908

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Solution

The third proportional to 385,872 and 589,908 is: 901,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,872 : 589,908 = 589,908 : x
  2. Step 2: Convert to fraction form
    385,872/589,908 = 589,908/x
  3. Step 3: Cross multiply
    385,872x = 589,908 × 589,908
  4. Step 4: Simplify right side
    385,872x = 347,991,448,464
  5. Step 5: Solve for x
    x = 347,991,448,464/385,872
  6. Step 6: Final answer
    x = 901,831.30

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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.