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Finding the Third Proportional to 253,260 and 535,032

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Solution

The third proportional to 253,260 and 535,032 is: 1,130,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,260 : 535,032 = 535,032 : x
  2. Step 2: Convert to fraction form
    253,260/535,032 = 535,032/x
  3. Step 3: Cross multiply
    253,260x = 535,032 × 535,032
  4. Step 4: Simplify right side
    253,260x = 286,259,241,024
  5. Step 5: Solve for x
    x = 286,259,241,024/253,260
  6. Step 6: Final answer
    x = 1,130,297.88

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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.