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Finding the Third Proportional to 256,918 and 395,205

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Solution

The third proportional to 256,918 and 395,205 is: 607,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,918 : 395,205 = 395,205 : x
  2. Step 2: Convert to fraction form
    256,918/395,205 = 395,205/x
  3. Step 3: Cross multiply
    256,918x = 395,205 × 395,205
  4. Step 4: Simplify right side
    256,918x = 156,186,992,025
  5. Step 5: Solve for x
    x = 156,186,992,025/256,918
  6. Step 6: Final answer
    x = 607,925.45

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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.