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Finding the Third Proportional to 306,469.50 and 649,798.50

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Solution

The third proportional to 306,469.50 and 649,798.50 is: 1,377,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,469.50 : 649,798.50 = 649,798.50 : x
  2. Step 2: Convert to fraction form
    306,469.50/649,798.50 = 649,798.50/x
  3. Step 3: Cross multiply
    306,469.50x = 649,798.50 × 649,798.50
  4. Step 4: Simplify right side
    306,469.50x = 422,238,090,602.25
  5. Step 5: Solve for x
    x = 422,238,090,602.25/306,469.50
  6. Step 6: Final answer
    x = 1,377,749.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.