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Finding the Third Proportional to 260,294 and 393,719.25

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Solution

The third proportional to 260,294 and 393,719.25 is: 595,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,294 : 393,719.25 = 393,719.25 : x
  2. Step 2: Convert to fraction form
    260,294/393,719.25 = 393,719.25/x
  3. Step 3: Cross multiply
    260,294x = 393,719.25 × 393,719.25
  4. Step 4: Simplify right side
    260,294x = 155,014,847,820.56
  5. Step 5: Solve for x
    x = 155,014,847,820.56/260,294
  6. Step 6: Final answer
    x = 595,537.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.