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Finding the Third Proportional to 433,516 and 690,406

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Solution

The third proportional to 433,516 and 690,406 is: 1,099,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,516 : 690,406 = 690,406 : x
  2. Step 2: Convert to fraction form
    433,516/690,406 = 690,406/x
  3. Step 3: Cross multiply
    433,516x = 690,406 × 690,406
  4. Step 4: Simplify right side
    433,516x = 476,660,444,836
  5. Step 5: Solve for x
    x = 476,660,444,836/433,516
  6. Step 6: Final answer
    x = 1,099,522.15

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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.