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Finding the Third Proportional to 227,737.13 and 483,495.75

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Solution

The third proportional to 227,737.13 and 483,495.75 is: 1,026,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,737.13 : 483,495.75 = 483,495.75 : x
  2. Step 2: Convert to fraction form
    227,737.13/483,495.75 = 483,495.75/x
  3. Step 3: Cross multiply
    227,737.13x = 483,495.75 × 483,495.75
  4. Step 4: Simplify right side
    227,737.13x = 233,768,140,268.06
  5. Step 5: Solve for x
    x = 233,768,140,268.06/227,737.13
  6. Step 6: Final answer
    x = 1,026,482.35

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.