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Finding the Third Proportional to 284,056 and 618,960

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Solution

The third proportional to 284,056 and 618,960 is: 1,348,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,056 : 618,960 = 618,960 : x
  2. Step 2: Convert to fraction form
    284,056/618,960 = 618,960/x
  3. Step 3: Cross multiply
    284,056x = 618,960 × 618,960
  4. Step 4: Simplify right side
    284,056x = 383,111,481,600
  5. Step 5: Solve for x
    x = 383,111,481,600/284,056
  6. Step 6: Final answer
    x = 1,348,718.15

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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.