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Finding the Third Proportional to 255,027 and 393,513

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Solution

The third proportional to 255,027 and 393,513 is: 607,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,027 : 393,513 = 393,513 : x
  2. Step 2: Convert to fraction form
    255,027/393,513 = 393,513/x
  3. Step 3: Cross multiply
    255,027x = 393,513 × 393,513
  4. Step 4: Simplify right side
    255,027x = 154,852,481,169
  5. Step 5: Solve for x
    x = 154,852,481,169/255,027
  6. Step 6: Final answer
    x = 607,200.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.