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Finding the Third Proportional to 305,574 and 672,066

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Solution

The third proportional to 305,574 and 672,066 is: 1,478,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,574 : 672,066 = 672,066 : x
  2. Step 2: Convert to fraction form
    305,574/672,066 = 672,066/x
  3. Step 3: Cross multiply
    305,574x = 672,066 × 672,066
  4. Step 4: Simplify right side
    305,574x = 451,672,708,356
  5. Step 5: Solve for x
    x = 451,672,708,356/305,574
  6. Step 6: Final answer
    x = 1,478,112.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.