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Finding the Third Proportional to 263,256 and 385,011

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Solution

The third proportional to 263,256 and 385,011 is: 563,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,256 : 385,011 = 385,011 : x
  2. Step 2: Convert to fraction form
    263,256/385,011 = 385,011/x
  3. Step 3: Cross multiply
    263,256x = 385,011 × 385,011
  4. Step 4: Simplify right side
    263,256x = 148,233,470,121
  5. Step 5: Solve for x
    x = 148,233,470,121/263,256
  6. Step 6: Final answer
    x = 563,077.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.