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Finding the Third Proportional to 404,080 and 633,882

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Solution

The third proportional to 404,080 and 633,882 is: 994,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,080 : 633,882 = 633,882 : x
  2. Step 2: Convert to fraction form
    404,080/633,882 = 633,882/x
  3. Step 3: Cross multiply
    404,080x = 633,882 × 633,882
  4. Step 4: Simplify right side
    404,080x = 401,806,389,924
  5. Step 5: Solve for x
    x = 401,806,389,924/404,080
  6. Step 6: Final answer
    x = 994,373.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.