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Finding the Third Proportional to 236,588 and 512,560

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Solution

The third proportional to 236,588 and 512,560 is: 1,110,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,588 : 512,560 = 512,560 : x
  2. Step 2: Convert to fraction form
    236,588/512,560 = 512,560/x
  3. Step 3: Cross multiply
    236,588x = 512,560 × 512,560
  4. Step 4: Simplify right side
    236,588x = 262,717,753,600
  5. Step 5: Solve for x
    x = 262,717,753,600/236,588
  6. Step 6: Final answer
    x = 1,110,444.12

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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.