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Finding the Third Proportional to 255,672 and 382,050

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Solution

The third proportional to 255,672 and 382,050 is: 570,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,672 : 382,050 = 382,050 : x
  2. Step 2: Convert to fraction form
    255,672/382,050 = 382,050/x
  3. Step 3: Cross multiply
    255,672x = 382,050 × 382,050
  4. Step 4: Simplify right side
    255,672x = 145,962,202,500
  5. Step 5: Solve for x
    x = 145,962,202,500/255,672
  6. Step 6: Final answer
    x = 570,896.31

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