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Finding the Third Proportional to 292,041 and 633,654

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Solution

The third proportional to 292,041 and 633,654 is: 1,374,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,041 : 633,654 = 633,654 : x
  2. Step 2: Convert to fraction form
    292,041/633,654 = 633,654/x
  3. Step 3: Cross multiply
    292,041x = 633,654 × 633,654
  4. Step 4: Simplify right side
    292,041x = 401,517,391,716
  5. Step 5: Solve for x
    x = 401,517,391,716/292,041
  6. Step 6: Final answer
    x = 1,374,866.51

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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.