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Finding the Third Proportional to 383,259 and 588,280.50

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Solution

The third proportional to 383,259 and 588,280.50 is: 902,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,259 : 588,280.50 = 588,280.50 : x
  2. Step 2: Convert to fraction form
    383,259/588,280.50 = 588,280.50/x
  3. Step 3: Cross multiply
    383,259x = 588,280.50 × 588,280.50
  4. Step 4: Simplify right side
    383,259x = 346,073,946,680.25
  5. Step 5: Solve for x
    x = 346,073,946,680.25/383,259
  6. Step 6: Final answer
    x = 902,976.70

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.