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Finding the Third Proportional to 653,027 and 989,398.50

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Solution

The third proportional to 653,027 and 989,398.50 is: 1,499,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,027 : 989,398.50 = 989,398.50 : x
  2. Step 2: Convert to fraction form
    653,027/989,398.50 = 989,398.50/x
  3. Step 3: Cross multiply
    653,027x = 989,398.50 × 989,398.50
  4. Step 4: Simplify right side
    653,027x = 978,909,391,802.25
  5. Step 5: Solve for x
    x = 978,909,391,802.25/653,027
  6. Step 6: Final answer
    x = 1,499,033.56

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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.