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Finding the Third Proportional to 253,485 and 542,954

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Solution

The third proportional to 253,485 and 542,954 is: 1,162,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,485 : 542,954 = 542,954 : x
  2. Step 2: Convert to fraction form
    253,485/542,954 = 542,954/x
  3. Step 3: Cross multiply
    253,485x = 542,954 × 542,954
  4. Step 4: Simplify right side
    253,485x = 294,799,046,116
  5. Step 5: Solve for x
    x = 294,799,046,116/253,485
  6. Step 6: Final answer
    x = 1,162,984.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.