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Finding the Third Proportional to 277,902 and 430,583

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Solution

The third proportional to 277,902 and 430,583 is: 667,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,902 : 430,583 = 430,583 : x
  2. Step 2: Convert to fraction form
    277,902/430,583 = 430,583/x
  3. Step 3: Cross multiply
    277,902x = 430,583 × 430,583
  4. Step 4: Simplify right side
    277,902x = 185,401,719,889
  5. Step 5: Solve for x
    x = 185,401,719,889/277,902
  6. Step 6: Final answer
    x = 667,147.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.