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Finding the Third Proportional to 275,938 and 423,020

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Solution

The third proportional to 275,938 and 423,020 is: 648,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,938 : 423,020 = 423,020 : x
  2. Step 2: Convert to fraction form
    275,938/423,020 = 423,020/x
  3. Step 3: Cross multiply
    275,938x = 423,020 × 423,020
  4. Step 4: Simplify right side
    275,938x = 178,945,920,400
  5. Step 5: Solve for x
    x = 178,945,920,400/275,938
  6. Step 6: Final answer
    x = 648,500.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.