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Finding the Third Proportional to 305,668.69 and 670,386.38

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Solution

The third proportional to 305,668.69 and 670,386.38 is: 1,470,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,668.69 : 670,386.38 = 670,386.38 : x
  2. Step 2: Convert to fraction form
    305,668.69/670,386.38 = 670,386.38/x
  3. Step 3: Cross multiply
    305,668.69x = 670,386.38 × 670,386.38
  4. Step 4: Simplify right side
    305,668.69x = 449,417,891,785.64
  5. Step 5: Solve for x
    x = 449,417,891,785.64/305,668.69
  6. Step 6: Final answer
    x = 1,470,277.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.