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Finding the Third Proportional to 652,396.50 and 1,405,830.38

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Solution

The third proportional to 652,396.50 and 1,405,830.38 is: 3,029,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,396.50 : 1,405,830.38 = 1,405,830.38 : x
  2. Step 2: Convert to fraction form
    652,396.50/1,405,830.38 = 1,405,830.38/x
  3. Step 3: Cross multiply
    652,396.50x = 1,405,830.38 × 1,405,830.38
  4. Step 4: Simplify right side
    652,396.50x = 1,976,359,043,272.64
  5. Step 5: Solve for x
    x = 1,976,359,043,272.64/652,396.50
  6. Step 6: Final answer
    x = 3,029,383.27

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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.