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Finding the Third Proportional to 383,594 and 567,958

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Solution

The third proportional to 383,594 and 567,958 is: 840,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,594 : 567,958 = 567,958 : x
  2. Step 2: Convert to fraction form
    383,594/567,958 = 567,958/x
  3. Step 3: Cross multiply
    383,594x = 567,958 × 567,958
  4. Step 4: Simplify right side
    383,594x = 322,576,289,764
  5. Step 5: Solve for x
    x = 322,576,289,764/383,594
  6. Step 6: Final answer
    x = 840,931.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.