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Finding the Third Proportional to 481,614 and 708,456

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Solution

The third proportional to 481,614 and 708,456 is: 1,042,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,614 : 708,456 = 708,456 : x
  2. Step 2: Convert to fraction form
    481,614/708,456 = 708,456/x
  3. Step 3: Cross multiply
    481,614x = 708,456 × 708,456
  4. Step 4: Simplify right side
    481,614x = 501,909,903,936
  5. Step 5: Solve for x
    x = 501,909,903,936/481,614
  6. Step 6: Final answer
    x = 1,042,141.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.