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Finding the Third Proportional to 253,665 and 535,608

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Solution

The third proportional to 253,665 and 535,608 is: 1,130,924.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,665 : 535,608 = 535,608 : x
  2. Step 2: Convert to fraction form
    253,665/535,608 = 535,608/x
  3. Step 3: Cross multiply
    253,665x = 535,608 × 535,608
  4. Step 4: Simplify right side
    253,665x = 286,875,929,664
  5. Step 5: Solve for x
    x = 286,875,929,664/253,665
  6. Step 6: Final answer
    x = 1,130,924.37

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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.