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Finding the Third Proportional to 353,126.25 and 453,417.75

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Solution

The third proportional to 353,126.25 and 453,417.75 is: 582,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,126.25 : 453,417.75 = 453,417.75 : x
  2. Step 2: Convert to fraction form
    353,126.25/453,417.75 = 453,417.75/x
  3. Step 3: Cross multiply
    353,126.25x = 453,417.75 × 453,417.75
  4. Step 4: Simplify right side
    353,126.25x = 205,587,656,015.06
  5. Step 5: Solve for x
    x = 205,587,656,015.06/353,126.25
  6. Step 6: Final answer
    x = 582,193.07

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.