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Finding the Third Proportional to 252,223 and 385,723

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Solution

The third proportional to 252,223 and 385,723 is: 589,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,223 : 385,723 = 385,723 : x
  2. Step 2: Convert to fraction form
    252,223/385,723 = 385,723/x
  3. Step 3: Cross multiply
    252,223x = 385,723 × 385,723
  4. Step 4: Simplify right side
    252,223x = 148,782,232,729
  5. Step 5: Solve for x
    x = 148,782,232,729/252,223
  6. Step 6: Final answer
    x = 589,883.69

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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.