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Finding the Third Proportional to 251,340 and 531,768

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Solution

The third proportional to 251,340 and 531,768 is: 1,125,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,340 : 531,768 = 531,768 : x
  2. Step 2: Convert to fraction form
    251,340/531,768 = 531,768/x
  3. Step 3: Cross multiply
    251,340x = 531,768 × 531,768
  4. Step 4: Simplify right side
    251,340x = 282,777,205,824
  5. Step 5: Solve for x
    x = 282,777,205,824/251,340
  6. Step 6: Final answer
    x = 1,125,078.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.