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Finding the Third Proportional to 284,556 and 619,224

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Solution

The third proportional to 284,556 and 619,224 is: 1,347,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,556 : 619,224 = 619,224 : x
  2. Step 2: Convert to fraction form
    284,556/619,224 = 619,224/x
  3. Step 3: Cross multiply
    284,556x = 619,224 × 619,224
  4. Step 4: Simplify right side
    284,556x = 383,438,362,176
  5. Step 5: Solve for x
    x = 383,438,362,176/284,556
  6. Step 6: Final answer
    x = 1,347,497.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.