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Finding the Third Proportional to 409,512 and 619,998

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Solution

The third proportional to 409,512 and 619,998 is: 938,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,512 : 619,998 = 619,998 : x
  2. Step 2: Convert to fraction form
    409,512/619,998 = 619,998/x
  3. Step 3: Cross multiply
    409,512x = 619,998 × 619,998
  4. Step 4: Simplify right side
    409,512x = 384,397,520,004
  5. Step 5: Solve for x
    x = 384,397,520,004/409,512
  6. Step 6: Final answer
    x = 938,672.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.