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Finding the Third Proportional to 301,205 and 649,066

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Solution

The third proportional to 301,205 and 649,066 is: 1,398,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,205 : 649,066 = 649,066 : x
  2. Step 2: Convert to fraction form
    301,205/649,066 = 649,066/x
  3. Step 3: Cross multiply
    301,205x = 649,066 × 649,066
  4. Step 4: Simplify right side
    301,205x = 421,286,672,356
  5. Step 5: Solve for x
    x = 421,286,672,356/301,205
  6. Step 6: Final answer
    x = 1,398,670.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.