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Finding the Third Proportional to 265,910,624 and 408,471,276

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Solution

The third proportional to 265,910,624 and 408,471,276 is: 627,461,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,910,624 : 408,471,276 = 408,471,276 : x
  2. Step 2: Convert to fraction form
    265,910,624/408,471,276 = 408,471,276/x
  3. Step 3: Cross multiply
    265,910,624x = 408,471,276 × 408,471,276
  4. Step 4: Simplify right side
    265,910,624x = 166,848,783,317,068,160
  5. Step 5: Solve for x
    x = 166,848,783,317,068,160/265,910,624
  6. Step 6: Final answer
    x = 627,461,892.30

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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.