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Finding the Third Proportional to 271,928.50 and 592,242.50

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Solution

The third proportional to 271,928.50 and 592,242.50 is: 1,289,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,928.50 : 592,242.50 = 592,242.50 : x
  2. Step 2: Convert to fraction form
    271,928.50/592,242.50 = 592,242.50/x
  3. Step 3: Cross multiply
    271,928.50x = 592,242.50 × 592,242.50
  4. Step 4: Simplify right side
    271,928.50x = 350,751,178,806.25
  5. Step 5: Solve for x
    x = 350,751,178,806.25/271,928.50
  6. Step 6: Final answer
    x = 1,289,865.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.