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Finding the Third Proportional to 357,225 and 770,538

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Solution

The third proportional to 357,225 and 770,538 is: 1,662,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,225 : 770,538 = 770,538 : x
  2. Step 2: Convert to fraction form
    357,225/770,538 = 770,538/x
  3. Step 3: Cross multiply
    357,225x = 770,538 × 770,538
  4. Step 4: Simplify right side
    357,225x = 593,728,809,444
  5. Step 5: Solve for x
    x = 593,728,809,444/357,225
  6. Step 6: Final answer
    x = 1,662,058.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.