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Finding the Third Proportional to 503,881 and 770,462

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Solution

The third proportional to 503,881 and 770,462 is: 1,178,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,881 : 770,462 = 770,462 : x
  2. Step 2: Convert to fraction form
    503,881/770,462 = 770,462/x
  3. Step 3: Cross multiply
    503,881x = 770,462 × 770,462
  4. Step 4: Simplify right side
    503,881x = 593,611,693,444
  5. Step 5: Solve for x
    x = 593,611,693,444/503,881
  6. Step 6: Final answer
    x = 1,178,079.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.