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Finding the Third Proportional to 435,436 and 659,717

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Solution

The third proportional to 435,436 and 659,717 is: 999,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,436 : 659,717 = 659,717 : x
  2. Step 2: Convert to fraction form
    435,436/659,717 = 659,717/x
  3. Step 3: Cross multiply
    435,436x = 659,717 × 659,717
  4. Step 4: Simplify right side
    435,436x = 435,226,520,089
  5. Step 5: Solve for x
    x = 435,226,520,089/435,436
  6. Step 6: Final answer
    x = 999,518.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.