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Finding the Third Proportional to 255,948 and 383,970

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Solution

The third proportional to 255,948 and 383,970 is: 576,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,948 : 383,970 = 383,970 : x
  2. Step 2: Convert to fraction form
    255,948/383,970 = 383,970/x
  3. Step 3: Cross multiply
    255,948x = 383,970 × 383,970
  4. Step 4: Simplify right side
    255,948x = 147,432,960,900
  5. Step 5: Solve for x
    x = 147,432,960,900/255,948
  6. Step 6: Final answer
    x = 576,027.01

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Why These Related Problems?

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