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Finding the Third Proportional to 255,385 and 386,628

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Solution

The third proportional to 255,385 and 386,628 is: 585,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,385 : 386,628 = 386,628 : x
  2. Step 2: Convert to fraction form
    255,385/386,628 = 386,628/x
  3. Step 3: Cross multiply
    255,385x = 386,628 × 386,628
  4. Step 4: Simplify right side
    255,385x = 149,481,210,384
  5. Step 5: Solve for x
    x = 149,481,210,384/255,385
  6. Step 6: Final answer
    x = 585,317.11

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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.