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Finding the Third Proportional to 420,343.50 and 669,172.50

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Solution

The third proportional to 420,343.50 and 669,172.50 is: 1,065,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,343.50 : 669,172.50 = 669,172.50 : x
  2. Step 2: Convert to fraction form
    420,343.50/669,172.50 = 669,172.50/x
  3. Step 3: Cross multiply
    420,343.50x = 669,172.50 × 669,172.50
  4. Step 4: Simplify right side
    420,343.50x = 447,791,834,756.25
  5. Step 5: Solve for x
    x = 447,791,834,756.25/420,343.50
  6. Step 6: Final answer
    x = 1,065,299.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.