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Finding the Third Proportional to 271,289.25 and 549,969.75

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Solution

The third proportional to 271,289.25 and 549,969.75 is: 1,114,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,289.25 : 549,969.75 = 549,969.75 : x
  2. Step 2: Convert to fraction form
    271,289.25/549,969.75 = 549,969.75/x
  3. Step 3: Cross multiply
    271,289.25x = 549,969.75 × 549,969.75
  4. Step 4: Simplify right side
    271,289.25x = 302,466,725,915.06
  5. Step 5: Solve for x
    x = 302,466,725,915.06/271,289.25
  6. Step 6: Final answer
    x = 1,114,923.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.