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Finding the Third Proportional to 688,329.56 and 1,476,300.94

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Solution

The third proportional to 688,329.56 and 1,476,300.94 is: 3,166,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,329.56 : 1,476,300.94 = 1,476,300.94 : x
  2. Step 2: Convert to fraction form
    688,329.56/1,476,300.94 = 1,476,300.94/x
  3. Step 3: Cross multiply
    688,329.56x = 1,476,300.94 × 1,476,300.94
  4. Step 4: Simplify right side
    688,329.56x = 2,179,464,458,063.38
  5. Step 5: Solve for x
    x = 2,179,464,458,063.38/688,329.56
  6. Step 6: Final answer
    x = 3,166,309.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.