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Finding the Third Proportional to 254,309 and 384,737

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Solution

The third proportional to 254,309 and 384,737 is: 582,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,309 : 384,737 = 384,737 : x
  2. Step 2: Convert to fraction form
    254,309/384,737 = 384,737/x
  3. Step 3: Cross multiply
    254,309x = 384,737 × 384,737
  4. Step 4: Simplify right side
    254,309x = 148,022,559,169
  5. Step 5: Solve for x
    x = 148,022,559,169/254,309
  6. Step 6: Final answer
    x = 582,057.89

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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.