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Finding the Third Proportional to 436,982 and 953,401.50

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Solution

The third proportional to 436,982 and 953,401.50 is: 2,080,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,982 : 953,401.50 = 953,401.50 : x
  2. Step 2: Convert to fraction form
    436,982/953,401.50 = 953,401.50/x
  3. Step 3: Cross multiply
    436,982x = 953,401.50 × 953,401.50
  4. Step 4: Simplify right side
    436,982x = 908,974,420,202.25
  5. Step 5: Solve for x
    x = 908,974,420,202.25/436,982
  6. Step 6: Final answer
    x = 2,080,118.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.