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Finding the Third Proportional to 435,333 and 659,583

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Solution

The third proportional to 435,333 and 659,583 is: 999,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,333 : 659,583 = 659,583 : x
  2. Step 2: Convert to fraction form
    435,333/659,583 = 659,583/x
  3. Step 3: Cross multiply
    435,333x = 659,583 × 659,583
  4. Step 4: Simplify right side
    435,333x = 435,049,733,889
  5. Step 5: Solve for x
    x = 435,049,733,889/435,333
  6. Step 6: Final answer
    x = 999,349.31

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