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Finding the Third Proportional to 284,052 and 618,951

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Solution

The third proportional to 284,052 and 618,951 is: 1,348,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,052 : 618,951 = 618,951 : x
  2. Step 2: Convert to fraction form
    284,052/618,951 = 618,951/x
  3. Step 3: Cross multiply
    284,052x = 618,951 × 618,951
  4. Step 4: Simplify right side
    284,052x = 383,100,340,401
  5. Step 5: Solve for x
    x = 383,100,340,401/284,052
  6. Step 6: Final answer
    x = 1,348,697.92

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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.