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Finding the Third Proportional to 231,804 and 488,931.75

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Solution

The third proportional to 231,804 and 488,931.75 is: 1,031,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,804 : 488,931.75 = 488,931.75 : x
  2. Step 2: Convert to fraction form
    231,804/488,931.75 = 488,931.75/x
  3. Step 3: Cross multiply
    231,804x = 488,931.75 × 488,931.75
  4. Step 4: Simplify right side
    231,804x = 239,054,256,158.06
  5. Step 5: Solve for x
    x = 239,054,256,158.06/231,804
  6. Step 6: Final answer
    x = 1,031,277.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.