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Finding the Third Proportional to 236,070 and 511,516

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Solution

The third proportional to 236,070 and 511,516 is: 1,108,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,070 : 511,516 = 511,516 : x
  2. Step 2: Convert to fraction form
    236,070/511,516 = 511,516/x
  3. Step 3: Cross multiply
    236,070x = 511,516 × 511,516
  4. Step 4: Simplify right side
    236,070x = 261,648,618,256
  5. Step 5: Solve for x
    x = 261,648,618,256/236,070
  6. Step 6: Final answer
    x = 1,108,351.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.