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Finding the Third Proportional to 254,896 and 382,440

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Solution

The third proportional to 254,896 and 382,440 is: 573,804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,896 : 382,440 = 382,440 : x
  2. Step 2: Convert to fraction form
    254,896/382,440 = 382,440/x
  3. Step 3: Cross multiply
    254,896x = 382,440 × 382,440
  4. Step 4: Simplify right side
    254,896x = 146,260,353,600
  5. Step 5: Solve for x
    x = 146,260,353,600/254,896
  6. Step 6: Final answer
    x = 573,804.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.