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Finding the Third Proportional to 260,994 and 556,150

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Solution

The third proportional to 260,994 and 556,150 is: 1,185,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,994 : 556,150 = 556,150 : x
  2. Step 2: Convert to fraction form
    260,994/556,150 = 556,150/x
  3. Step 3: Cross multiply
    260,994x = 556,150 × 556,150
  4. Step 4: Simplify right side
    260,994x = 309,302,822,500
  5. Step 5: Solve for x
    x = 309,302,822,500/260,994
  6. Step 6: Final answer
    x = 1,185,095.53

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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.