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Finding the Third Proportional to 307,207.13 and 649,460.25

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Solution

The third proportional to 307,207.13 and 649,460.25 is: 1,373,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,207.13 : 649,460.25 = 649,460.25 : x
  2. Step 2: Convert to fraction form
    307,207.13/649,460.25 = 649,460.25/x
  3. Step 3: Cross multiply
    307,207.13x = 649,460.25 × 649,460.25
  4. Step 4: Simplify right side
    307,207.13x = 421,798,616,330.06
  5. Step 5: Solve for x
    x = 421,798,616,330.06/307,207.13
  6. Step 6: Final answer
    x = 1,373,010.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.