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Finding the Third Proportional to 375,080 and 535,981

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Solution

The third proportional to 375,080 and 535,981 is: 765,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,080 : 535,981 = 535,981 : x
  2. Step 2: Convert to fraction form
    375,080/535,981 = 535,981/x
  3. Step 3: Cross multiply
    375,080x = 535,981 × 535,981
  4. Step 4: Simplify right side
    375,080x = 287,275,632,361
  5. Step 5: Solve for x
    x = 287,275,632,361/375,080
  6. Step 6: Final answer
    x = 765,904.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.