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Finding the Third Proportional to 236,392 and 510,674

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Solution

The third proportional to 236,392 and 510,674 is: 1,103,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,392 : 510,674 = 510,674 : x
  2. Step 2: Convert to fraction form
    236,392/510,674 = 510,674/x
  3. Step 3: Cross multiply
    236,392x = 510,674 × 510,674
  4. Step 4: Simplify right side
    236,392x = 260,787,934,276
  5. Step 5: Solve for x
    x = 260,787,934,276/236,392
  6. Step 6: Final answer
    x = 1,103,201.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.