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Finding the Third Proportional to 293,550 and 630,525

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Solution

The third proportional to 293,550 and 630,525 is: 1,354,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,550 : 630,525 = 630,525 : x
  2. Step 2: Convert to fraction form
    293,550/630,525 = 630,525/x
  3. Step 3: Cross multiply
    293,550x = 630,525 × 630,525
  4. Step 4: Simplify right side
    293,550x = 397,561,775,625
  5. Step 5: Solve for x
    x = 397,561,775,625/293,550
  6. Step 6: Final answer
    x = 1,354,323.88

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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.