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Finding the Third Proportional to 254,689 and 373,008

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Solution

The third proportional to 254,689 and 373,008 is: 546,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,689 : 373,008 = 373,008 : x
  2. Step 2: Convert to fraction form
    254,689/373,008 = 373,008/x
  3. Step 3: Cross multiply
    254,689x = 373,008 × 373,008
  4. Step 4: Simplify right side
    254,689x = 139,134,968,064
  5. Step 5: Solve for x
    x = 139,134,968,064/254,689
  6. Step 6: Final answer
    x = 546,293.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.