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Finding the Third Proportional to 263,238 and 384,984

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Solution

The third proportional to 263,238 and 384,984 is: 563,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,238 : 384,984 = 384,984 : x
  2. Step 2: Convert to fraction form
    263,238/384,984 = 384,984/x
  3. Step 3: Cross multiply
    263,238x = 384,984 × 384,984
  4. Step 4: Simplify right side
    263,238x = 148,212,680,256
  5. Step 5: Solve for x
    x = 148,212,680,256/263,238
  6. Step 6: Final answer
    x = 563,036.80

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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.