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Finding the Third Proportional to 248,230 and 383,578

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Solution

The third proportional to 248,230 and 383,578 is: 592,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,230 : 383,578 = 383,578 : x
  2. Step 2: Convert to fraction form
    248,230/383,578 = 383,578/x
  3. Step 3: Cross multiply
    248,230x = 383,578 × 383,578
  4. Step 4: Simplify right side
    248,230x = 147,132,082,084
  5. Step 5: Solve for x
    x = 147,132,082,084/248,230
  6. Step 6: Final answer
    x = 592,724.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.