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Finding the Third Proportional to 395,457 and 933,137.25

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Solution

The third proportional to 395,457 and 933,137.25 is: 2,201,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,457 : 933,137.25 = 933,137.25 : x
  2. Step 2: Convert to fraction form
    395,457/933,137.25 = 933,137.25/x
  3. Step 3: Cross multiply
    395,457x = 933,137.25 × 933,137.25
  4. Step 4: Simplify right side
    395,457x = 870,745,127,337.56
  5. Step 5: Solve for x
    x = 870,745,127,337.56/395,457
  6. Step 6: Final answer
    x = 2,201,870.56

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.