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Finding the Third Proportional to 209,935.50 and 453,024

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Solution

The third proportional to 209,935.50 and 453,024 is: 977,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,935.50 : 453,024 = 453,024 : x
  2. Step 2: Convert to fraction form
    209,935.50/453,024 = 453,024/x
  3. Step 3: Cross multiply
    209,935.50x = 453,024 × 453,024
  4. Step 4: Simplify right side
    209,935.50x = 205,230,744,576
  5. Step 5: Solve for x
    x = 205,230,744,576/209,935.50
  6. Step 6: Final answer
    x = 977,589.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.