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Finding the Third Proportional to 420,324.19 and 669,146.06

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Solution

The third proportional to 420,324.19 and 669,146.06 is: 1,065,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,324.19 : 669,146.06 = 669,146.06 : x
  2. Step 2: Convert to fraction form
    420,324.19/669,146.06 = 669,146.06/x
  3. Step 3: Cross multiply
    420,324.19x = 669,146.06 × 669,146.06
  4. Step 4: Simplify right side
    420,324.19x = 447,756,452,959.25
  5. Step 5: Solve for x
    x = 447,756,452,959.25/420,324.19
  6. Step 6: Final answer
    x = 1,065,264.54

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