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Finding the Third Proportional to 303,724 and 453,120

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Solution

The third proportional to 303,724 and 453,120 is: 676,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,724 : 453,120 = 453,120 : x
  2. Step 2: Convert to fraction form
    303,724/453,120 = 453,120/x
  3. Step 3: Cross multiply
    303,724x = 453,120 × 453,120
  4. Step 4: Simplify right side
    303,724x = 205,317,734,400
  5. Step 5: Solve for x
    x = 205,317,734,400/303,724
  6. Step 6: Final answer
    x = 676,001.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.