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Finding the Third Proportional to 265,038.75 and 393,958.13

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Solution

The third proportional to 265,038.75 and 393,958.13 is: 585,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,038.75 : 393,958.13 = 393,958.13 : x
  2. Step 2: Convert to fraction form
    265,038.75/393,958.13 = 393,958.13/x
  3. Step 3: Cross multiply
    265,038.75x = 393,958.13 × 393,958.13
  4. Step 4: Simplify right side
    265,038.75x = 155,203,004,253.52
  5. Step 5: Solve for x
    x = 155,203,004,253.52/265,038.75
  6. Step 6: Final answer
    x = 585,586.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.