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Finding the Third Proportional to 235,588 and 512,648

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Solution

The third proportional to 235,588 and 512,648 is: 1,115,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,588 : 512,648 = 512,648 : x
  2. Step 2: Convert to fraction form
    235,588/512,648 = 512,648/x
  3. Step 3: Cross multiply
    235,588x = 512,648 × 512,648
  4. Step 4: Simplify right side
    235,588x = 262,807,971,904
  5. Step 5: Solve for x
    x = 262,807,971,904/235,588
  6. Step 6: Final answer
    x = 1,115,540.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.