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Finding the Third Proportional to 433,519 and 690,410

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Solution

The third proportional to 433,519 and 690,410 is: 1,099,527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,519 : 690,410 = 690,410 : x
  2. Step 2: Convert to fraction form
    433,519/690,410 = 690,410/x
  3. Step 3: Cross multiply
    433,519x = 690,410 × 690,410
  4. Step 4: Simplify right side
    433,519x = 476,665,968,100
  5. Step 5: Solve for x
    x = 476,665,968,100/433,519
  6. Step 6: Final answer
    x = 1,099,527.28

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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.