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Finding the Third Proportional to 263,010 and 376,077

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Solution

The third proportional to 263,010 and 376,077 is: 537,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,010 : 376,077 = 376,077 : x
  2. Step 2: Convert to fraction form
    263,010/376,077 = 376,077/x
  3. Step 3: Cross multiply
    263,010x = 376,077 × 376,077
  4. Step 4: Simplify right side
    263,010x = 141,433,909,929
  5. Step 5: Solve for x
    x = 141,433,909,929/263,010
  6. Step 6: Final answer
    x = 537,751.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.