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Finding the Third Proportional to 291,357 and 383,575.50

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Solution

The third proportional to 291,357 and 383,575.50 is: 504,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,357 : 383,575.50 = 383,575.50 : x
  2. Step 2: Convert to fraction form
    291,357/383,575.50 = 383,575.50/x
  3. Step 3: Cross multiply
    291,357x = 383,575.50 × 383,575.50
  4. Step 4: Simplify right side
    291,357x = 147,130,164,200.25
  5. Step 5: Solve for x
    x = 147,130,164,200.25/291,357
  6. Step 6: Final answer
    x = 504,982.42

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.