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Finding the Third Proportional to 252,052 and 383,334

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Solution

The third proportional to 252,052 and 383,334 is: 582,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,052 : 383,334 = 383,334 : x
  2. Step 2: Convert to fraction form
    252,052/383,334 = 383,334/x
  3. Step 3: Cross multiply
    252,052x = 383,334 × 383,334
  4. Step 4: Simplify right side
    252,052x = 146,944,955,556
  5. Step 5: Solve for x
    x = 146,944,955,556/252,052
  6. Step 6: Final answer
    x = 582,994.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.