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Finding the Third Proportional to 296,343 and 627,952.50

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Solution

The third proportional to 296,343 and 627,952.50 is: 1,330,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,343 : 627,952.50 = 627,952.50 : x
  2. Step 2: Convert to fraction form
    296,343/627,952.50 = 627,952.50/x
  3. Step 3: Cross multiply
    296,343x = 627,952.50 × 627,952.50
  4. Step 4: Simplify right side
    296,343x = 394,324,342,256.25
  5. Step 5: Solve for x
    x = 394,324,342,256.25/296,343
  6. Step 6: Final answer
    x = 1,330,634.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.