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Finding the Third Proportional to 465,034.50 and 996,498

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Solution

The third proportional to 465,034.50 and 996,498 is: 2,135,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,034.50 : 996,498 = 996,498 : x
  2. Step 2: Convert to fraction form
    465,034.50/996,498 = 996,498/x
  3. Step 3: Cross multiply
    465,034.50x = 996,498 × 996,498
  4. Step 4: Simplify right side
    465,034.50x = 993,008,264,004
  5. Step 5: Solve for x
    x = 993,008,264,004/465,034.50
  6. Step 6: Final answer
    x = 2,135,343.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.