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Finding the Third Proportional to 295,220 and 629,104

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Solution

The third proportional to 295,220 and 629,104 is: 1,340,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,220 : 629,104 = 629,104 : x
  2. Step 2: Convert to fraction form
    295,220/629,104 = 629,104/x
  3. Step 3: Cross multiply
    295,220x = 629,104 × 629,104
  4. Step 4: Simplify right side
    295,220x = 395,771,842,816
  5. Step 5: Solve for x
    x = 395,771,842,816/295,220
  6. Step 6: Final answer
    x = 1,340,599.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.