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Finding the Third Proportional to 236,385 and 510,660

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Solution

The third proportional to 236,385 and 510,660 is: 1,103,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,385 : 510,660 = 510,660 : x
  2. Step 2: Convert to fraction form
    236,385/510,660 = 510,660/x
  3. Step 3: Cross multiply
    236,385x = 510,660 × 510,660
  4. Step 4: Simplify right side
    236,385x = 260,773,635,600
  5. Step 5: Solve for x
    x = 260,773,635,600/236,385
  6. Step 6: Final answer
    x = 1,103,173.36

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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.