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Finding the Third Proportional to 260,814.94 and 556,076.81

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Solution

The third proportional to 260,814.94 and 556,076.81 is: 1,185,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,814.94 : 556,076.81 = 556,076.81 : x
  2. Step 2: Convert to fraction form
    260,814.94/556,076.81 = 556,076.81/x
  3. Step 3: Cross multiply
    260,814.94x = 556,076.81 × 556,076.81
  4. Step 4: Simplify right side
    260,814.94x = 309,221,421,400.16
  5. Step 5: Solve for x
    x = 309,221,421,400.16/260,814.94
  6. Step 6: Final answer
    x = 1,185,597.05

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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.