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Finding the Third Proportional to 284,278.50 and 618,669

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Solution

The third proportional to 284,278.50 and 618,669 is: 1,346,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,278.50 : 618,669 = 618,669 : x
  2. Step 2: Convert to fraction form
    284,278.50/618,669 = 618,669/x
  3. Step 3: Cross multiply
    284,278.50x = 618,669 × 618,669
  4. Step 4: Simplify right side
    284,278.50x = 382,751,331,561
  5. Step 5: Solve for x
    x = 382,751,331,561/284,278.50
  6. Step 6: Final answer
    x = 1,346,395.64

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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.