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Finding the Third Proportional to 254,298 and 373,662

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Solution

The third proportional to 254,298 and 373,662 is: 549,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,298 : 373,662 = 373,662 : x
  2. Step 2: Convert to fraction form
    254,298/373,662 = 373,662/x
  3. Step 3: Cross multiply
    254,298x = 373,662 × 373,662
  4. Step 4: Simplify right side
    254,298x = 139,623,290,244
  5. Step 5: Solve for x
    x = 139,623,290,244/254,298
  6. Step 6: Final answer
    x = 549,053.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.