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Finding the Third Proportional to 283,576 and 618,664

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Solution

The third proportional to 283,576 and 618,664 is: 1,349,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,576 : 618,664 = 618,664 : x
  2. Step 2: Convert to fraction form
    283,576/618,664 = 618,664/x
  3. Step 3: Cross multiply
    283,576x = 618,664 × 618,664
  4. Step 4: Simplify right side
    283,576x = 382,745,144,896
  5. Step 5: Solve for x
    x = 382,745,144,896/283,576
  6. Step 6: Final answer
    x = 1,349,709.23

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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.