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Finding the Third Proportional to 253,669 and 535,616

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Solution

The third proportional to 253,669 and 535,616 is: 1,130,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,669 : 535,616 = 535,616 : x
  2. Step 2: Convert to fraction form
    253,669/535,616 = 535,616/x
  3. Step 3: Cross multiply
    253,669x = 535,616 × 535,616
  4. Step 4: Simplify right side
    253,669x = 286,884,499,456
  5. Step 5: Solve for x
    x = 286,884,499,456/253,669
  6. Step 6: Final answer
    x = 1,130,940.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.