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Finding the Third Proportional to 652,992.75 and 989,364.94

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Solution

The third proportional to 652,992.75 and 989,364.94 is: 1,499,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,992.75 : 989,364.94 = 989,364.94 : x
  2. Step 2: Convert to fraction form
    652,992.75/989,364.94 = 989,364.94/x
  3. Step 3: Cross multiply
    652,992.75x = 989,364.94 × 989,364.94
  4. Step 4: Simplify right side
    652,992.75x = 978,842,979,554.38
  5. Step 5: Solve for x
    x = 978,842,979,554.38/652,992.75
  6. Step 6: Final answer
    x = 1,499,010.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.