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Finding the Third Proportional to 236,871 and 518,025

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Solution

The third proportional to 236,871 and 518,025 is: 1,132,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,871 : 518,025 = 518,025 : x
  2. Step 2: Convert to fraction form
    236,871/518,025 = 518,025/x
  3. Step 3: Cross multiply
    236,871x = 518,025 × 518,025
  4. Step 4: Simplify right side
    236,871x = 268,349,900,625
  5. Step 5: Solve for x
    x = 268,349,900,625/236,871
  6. Step 6: Final answer
    x = 1,132,894.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.