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Finding the Third Proportional to 599,220.75 and 842,846.25

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Solution

The third proportional to 599,220.75 and 842,846.25 is: 1,185,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,220.75 : 842,846.25 = 842,846.25 : x
  2. Step 2: Convert to fraction form
    599,220.75/842,846.25 = 842,846.25/x
  3. Step 3: Cross multiply
    599,220.75x = 842,846.25 × 842,846.25
  4. Step 4: Simplify right side
    599,220.75x = 710,389,801,139.06
  5. Step 5: Solve for x
    x = 710,389,801,139.06/599,220.75
  6. Step 6: Final answer
    x = 1,185,522.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.