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Finding the Third Proportional to 306,967.75 and 645,747.75

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Solution

The third proportional to 306,967.75 and 645,747.75 is: 1,358,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,967.75 : 645,747.75 = 645,747.75 : x
  2. Step 2: Convert to fraction form
    306,967.75/645,747.75 = 645,747.75/x
  3. Step 3: Cross multiply
    306,967.75x = 645,747.75 × 645,747.75
  4. Step 4: Simplify right side
    306,967.75x = 416,990,156,630.06
  5. Step 5: Solve for x
    x = 416,990,156,630.06/306,967.75
  6. Step 6: Final answer
    x = 1,358,416.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.