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Finding the Third Proportional to 342,153 and 752,994

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Solution

The third proportional to 342,153 and 752,994 is: 1,657,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,153 : 752,994 = 752,994 : x
  2. Step 2: Convert to fraction form
    342,153/752,994 = 752,994/x
  3. Step 3: Cross multiply
    342,153x = 752,994 × 752,994
  4. Step 4: Simplify right side
    342,153x = 566,999,964,036
  5. Step 5: Solve for x
    x = 566,999,964,036/342,153
  6. Step 6: Final answer
    x = 1,657,153.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.