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Finding the Third Proportional to 349,903.13 and 493,074

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Solution

The third proportional to 349,903.13 and 493,074 is: 694,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,903.13 : 493,074 = 493,074 : x
  2. Step 2: Convert to fraction form
    349,903.13/493,074 = 493,074/x
  3. Step 3: Cross multiply
    349,903.13x = 493,074 × 493,074
  4. Step 4: Simplify right side
    349,903.13x = 243,121,969,476
  5. Step 5: Solve for x
    x = 243,121,969,476/349,903.13
  6. Step 6: Final answer
    x = 694,826.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.