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Finding the Third Proportional to 335,474 and 507,573

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Solution

The third proportional to 335,474 and 507,573 is: 767,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,474 : 507,573 = 507,573 : x
  2. Step 2: Convert to fraction form
    335,474/507,573 = 507,573/x
  3. Step 3: Cross multiply
    335,474x = 507,573 × 507,573
  4. Step 4: Simplify right side
    335,474x = 257,630,350,329
  5. Step 5: Solve for x
    x = 257,630,350,329/335,474
  6. Step 6: Final answer
    x = 767,959.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.