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Finding the Third Proportional to 453,969 and 684,353.25

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Solution

The third proportional to 453,969 and 684,353.25 is: 1,031,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,969 : 684,353.25 = 684,353.25 : x
  2. Step 2: Convert to fraction form
    453,969/684,353.25 = 684,353.25/x
  3. Step 3: Cross multiply
    453,969x = 684,353.25 × 684,353.25
  4. Step 4: Simplify right side
    453,969x = 468,339,370,785.56
  5. Step 5: Solve for x
    x = 468,339,370,785.56/453,969
  6. Step 6: Final answer
    x = 1,031,654.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.