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Finding the Third Proportional to 289,130.13 and 624,101.84

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Solution

The third proportional to 289,130.13 and 624,101.84 is: 1,347,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,130.13 : 624,101.84 = 624,101.84 : x
  2. Step 2: Convert to fraction form
    289,130.13/624,101.84 = 624,101.84/x
  3. Step 3: Cross multiply
    289,130.13x = 624,101.84 × 624,101.84
  4. Step 4: Simplify right side
    289,130.13x = 389,503,101,620.56
  5. Step 5: Solve for x
    x = 389,503,101,620.56/289,130.13
  6. Step 6: Final answer
    x = 1,347,154.99

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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.