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Finding the Third Proportional to 284,919 and 609,366

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Solution

The third proportional to 284,919 and 609,366 is: 1,303,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,919 : 609,366 = 609,366 : x
  2. Step 2: Convert to fraction form
    284,919/609,366 = 609,366/x
  3. Step 3: Cross multiply
    284,919x = 609,366 × 609,366
  4. Step 4: Simplify right side
    284,919x = 371,326,921,956
  5. Step 5: Solve for x
    x = 371,326,921,956/284,919
  6. Step 6: Final answer
    x = 1,303,271.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.