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Finding the Third Proportional to 255,717 and 383,575.75

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Solution

The third proportional to 255,717 and 383,575.75 is: 575,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,717 : 383,575.75 = 383,575.75 : x
  2. Step 2: Convert to fraction form
    255,717/383,575.75 = 383,575.75/x
  3. Step 3: Cross multiply
    255,717x = 383,575.75 × 383,575.75
  4. Step 4: Simplify right side
    255,717x = 147,130,355,988.06
  5. Step 5: Solve for x
    x = 147,130,355,988.06/255,717
  6. Step 6: Final answer
    x = 575,364.00

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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.