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Finding the Third Proportional to 350,077 and 712,994

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Solution

The third proportional to 350,077 and 712,994 is: 1,452,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,077 : 712,994 = 712,994 : x
  2. Step 2: Convert to fraction form
    350,077/712,994 = 712,994/x
  3. Step 3: Cross multiply
    350,077x = 712,994 × 712,994
  4. Step 4: Simplify right side
    350,077x = 508,360,444,036
  5. Step 5: Solve for x
    x = 508,360,444,036/350,077
  6. Step 6: Final answer
    x = 1,452,138.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.