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Finding the Third Proportional to 284,054 and 618,954

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Solution

The third proportional to 284,054 and 618,954 is: 1,348,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,054 : 618,954 = 618,954 : x
  2. Step 2: Convert to fraction form
    284,054/618,954 = 618,954/x
  3. Step 3: Cross multiply
    284,054x = 618,954 × 618,954
  4. Step 4: Simplify right side
    284,054x = 383,104,054,116
  5. Step 5: Solve for x
    x = 383,104,054,116/284,054
  6. Step 6: Final answer
    x = 1,348,701.49

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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.