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Finding the Third Proportional to 288,084 and 414,967

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Solution

The third proportional to 288,084 and 414,967 is: 597,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,084 : 414,967 = 414,967 : x
  2. Step 2: Convert to fraction form
    288,084/414,967 = 414,967/x
  3. Step 3: Cross multiply
    288,084x = 414,967 × 414,967
  4. Step 4: Simplify right side
    288,084x = 172,197,611,089
  5. Step 5: Solve for x
    x = 172,197,611,089/288,084
  6. Step 6: Final answer
    x = 597,734.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.