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Finding the Third Proportional to 653,018.25 and 989,383.88

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Solution

The third proportional to 653,018.25 and 989,383.88 is: 1,499,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,018.25 : 989,383.88 = 989,383.88 : x
  2. Step 2: Convert to fraction form
    653,018.25/989,383.88 = 989,383.88/x
  3. Step 3: Cross multiply
    653,018.25x = 989,383.88 × 989,383.88
  4. Step 4: Simplify right side
    653,018.25x = 978,880,452,110.02
  5. Step 5: Solve for x
    x = 978,880,452,110.02/653,018.25
  6. Step 6: Final answer
    x = 1,499,009.33

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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.