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Finding the Third Proportional to 293,064 and 627,600

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Solution

The third proportional to 293,064 and 627,600 is: 1,344,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,064 : 627,600 = 627,600 : x
  2. Step 2: Convert to fraction form
    293,064/627,600 = 627,600/x
  3. Step 3: Cross multiply
    293,064x = 627,600 × 627,600
  4. Step 4: Simplify right side
    293,064x = 393,881,760,000
  5. Step 5: Solve for x
    x = 393,881,760,000/293,064
  6. Step 6: Final answer
    x = 1,344,012.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.