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Finding the Third Proportional to 665,146.50 and 1,014,326

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Solution

The third proportional to 665,146.50 and 1,014,326 is: 1,546,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,146.50 : 1,014,326 = 1,014,326 : x
  2. Step 2: Convert to fraction form
    665,146.50/1,014,326 = 1,014,326/x
  3. Step 3: Cross multiply
    665,146.50x = 1,014,326 × 1,014,326
  4. Step 4: Simplify right side
    665,146.50x = 1,028,857,234,276
  5. Step 5: Solve for x
    x = 1,028,857,234,276/665,146.50
  6. Step 6: Final answer
    x = 1,546,812.97

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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.