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Finding the Third Proportional to 209,938.50 and 453,030

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Solution

The third proportional to 209,938.50 and 453,030 is: 977,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,938.50 : 453,030 = 453,030 : x
  2. Step 2: Convert to fraction form
    209,938.50/453,030 = 453,030/x
  3. Step 3: Cross multiply
    209,938.50x = 453,030 × 453,030
  4. Step 4: Simplify right side
    209,938.50x = 205,236,180,900
  5. Step 5: Solve for x
    x = 205,236,180,900/209,938.50
  6. Step 6: Final answer
    x = 977,601.44

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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.