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Finding the Third Proportional to 284,526 and 619,251

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Solution

The third proportional to 284,526 and 619,251 is: 1,347,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,526 : 619,251 = 619,251 : x
  2. Step 2: Convert to fraction form
    284,526/619,251 = 619,251/x
  3. Step 3: Cross multiply
    284,526x = 619,251 × 619,251
  4. Step 4: Simplify right side
    284,526x = 383,471,801,001
  5. Step 5: Solve for x
    x = 383,471,801,001/284,526
  6. Step 6: Final answer
    x = 1,347,756.62

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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.