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Finding the Third Proportional to 545,973.88 and 844,512.94

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Solution

The third proportional to 545,973.88 and 844,512.94 is: 1,306,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,973.88 : 844,512.94 = 844,512.94 : x
  2. Step 2: Convert to fraction form
    545,973.88/844,512.94 = 844,512.94/x
  3. Step 3: Cross multiply
    545,973.88x = 844,512.94 × 844,512.94
  4. Step 4: Simplify right side
    545,973.88x = 713,202,101,604.88
  5. Step 5: Solve for x
    x = 713,202,101,604.88/545,973.88
  6. Step 6: Final answer
    x = 1,306,293.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.