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Finding the Third Proportional to 433,508.63 and 690,395.06

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Solution

The third proportional to 433,508.63 and 690,395.06 is: 1,099,506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,508.63 : 690,395.06 = 690,395.06 : x
  2. Step 2: Convert to fraction form
    433,508.63/690,395.06 = 690,395.06/x
  3. Step 3: Cross multiply
    433,508.63x = 690,395.06 × 690,395.06
  4. Step 4: Simplify right side
    433,508.63x = 476,645,342,324.38
  5. Step 5: Solve for x
    x = 476,645,342,324.38/433,508.63
  6. Step 6: Final answer
    x = 1,099,506.02

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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.