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Finding the Third Proportional to 298,725 and 645,150

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Solution

The third proportional to 298,725 and 645,150 is: 1,393,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,725 : 645,150 = 645,150 : x
  2. Step 2: Convert to fraction form
    298,725/645,150 = 645,150/x
  3. Step 3: Cross multiply
    298,725x = 645,150 × 645,150
  4. Step 4: Simplify right side
    298,725x = 416,218,522,500
  5. Step 5: Solve for x
    x = 416,218,522,500/298,725
  6. Step 6: Final answer
    x = 1,393,316.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.