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Finding the Third Proportional to 255,719 and 383,578

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Solution

The third proportional to 255,719 and 383,578 is: 575,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,719 : 383,578 = 383,578 : x
  2. Step 2: Convert to fraction form
    255,719/383,578 = 383,578/x
  3. Step 3: Cross multiply
    255,719x = 383,578 × 383,578
  4. Step 4: Simplify right side
    255,719x = 147,132,082,084
  5. Step 5: Solve for x
    x = 147,132,082,084/255,719
  6. Step 6: Final answer
    x = 575,366.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.