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Finding the Third Proportional to 599,456 and 905,538

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Solution

The third proportional to 599,456 and 905,538 is: 1,367,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,456 : 905,538 = 905,538 : x
  2. Step 2: Convert to fraction form
    599,456/905,538 = 905,538/x
  3. Step 3: Cross multiply
    599,456x = 905,538 × 905,538
  4. Step 4: Simplify right side
    599,456x = 819,999,069,444
  5. Step 5: Solve for x
    x = 819,999,069,444/599,456
  6. Step 6: Final answer
    x = 1,367,905.35

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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.