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Finding the Third Proportional to 271,903.50 and 561,289.50

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Solution

The third proportional to 271,903.50 and 561,289.50 is: 1,158,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,903.50 : 561,289.50 = 561,289.50 : x
  2. Step 2: Convert to fraction form
    271,903.50/561,289.50 = 561,289.50/x
  3. Step 3: Cross multiply
    271,903.50x = 561,289.50 × 561,289.50
  4. Step 4: Simplify right side
    271,903.50x = 315,045,902,810.25
  5. Step 5: Solve for x
    x = 315,045,902,810.25/271,903.50
  6. Step 6: Final answer
    x = 1,158,668.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.