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Finding the Third Proportional to 292,188 and 633,912

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Solution

The third proportional to 292,188 and 633,912 is: 1,375,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,188 : 633,912 = 633,912 : x
  2. Step 2: Convert to fraction form
    292,188/633,912 = 633,912/x
  3. Step 3: Cross multiply
    292,188x = 633,912 × 633,912
  4. Step 4: Simplify right side
    292,188x = 401,844,423,744
  5. Step 5: Solve for x
    x = 401,844,423,744/292,188
  6. Step 6: Final answer
    x = 1,375,294.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.