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Finding the Third Proportional to 305,064 and 461,538

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Solution

The third proportional to 305,064 and 461,538 is: 698,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,064 : 461,538 = 461,538 : x
  2. Step 2: Convert to fraction form
    305,064/461,538 = 461,538/x
  3. Step 3: Cross multiply
    305,064x = 461,538 × 461,538
  4. Step 4: Simplify right side
    305,064x = 213,017,325,444
  5. Step 5: Solve for x
    x = 213,017,325,444/305,064
  6. Step 6: Final answer
    x = 698,270.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.