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Finding the Third Proportional to 433,515 and 690,404.25

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Solution

The third proportional to 433,515 and 690,404.25 is: 1,099,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,515 : 690,404.25 = 690,404.25 : x
  2. Step 2: Convert to fraction form
    433,515/690,404.25 = 690,404.25/x
  3. Step 3: Cross multiply
    433,515x = 690,404.25 × 690,404.25
  4. Step 4: Simplify right side
    433,515x = 476,658,028,418.06
  5. Step 5: Solve for x
    x = 476,658,028,418.06/433,515
  6. Step 6: Final answer
    x = 1,099,519.11

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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.