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Finding the Third Proportional to 254,308 and 384,735

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Solution

The third proportional to 254,308 and 384,735 is: 582,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,308 : 384,735 = 384,735 : x
  2. Step 2: Convert to fraction form
    254,308/384,735 = 384,735/x
  3. Step 3: Cross multiply
    254,308x = 384,735 × 384,735
  4. Step 4: Simplify right side
    254,308x = 148,021,020,225
  5. Step 5: Solve for x
    x = 148,021,020,225/254,308
  6. Step 6: Final answer
    x = 582,054.12

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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.