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Finding the Third Proportional to 248,242 and 535,841

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Solution

The third proportional to 248,242 and 535,841 is: 1,156,635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,242 : 535,841 = 535,841 : x
  2. Step 2: Convert to fraction form
    248,242/535,841 = 535,841/x
  3. Step 3: Cross multiply
    248,242x = 535,841 × 535,841
  4. Step 4: Simplify right side
    248,242x = 287,125,577,281
  5. Step 5: Solve for x
    x = 287,125,577,281/248,242
  6. Step 6: Final answer
    x = 1,156,635.77

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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.