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Finding the Third Proportional to 292,546.50 and 629,378.50

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Solution

The third proportional to 292,546.50 and 629,378.50 is: 1,354,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,546.50 : 629,378.50 = 629,378.50 : x
  2. Step 2: Convert to fraction form
    292,546.50/629,378.50 = 629,378.50/x
  3. Step 3: Cross multiply
    292,546.50x = 629,378.50 × 629,378.50
  4. Step 4: Simplify right side
    292,546.50x = 396,117,296,262.25
  5. Step 5: Solve for x
    x = 396,117,296,262.25/292,546.50
  6. Step 6: Final answer
    x = 1,354,031.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.