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Finding the Third Proportional to 265,910,664 and 408,471,328

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Solution

The third proportional to 265,910,664 and 408,471,328 is: 627,461,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,910,664 : 408,471,328 = 408,471,328 : x
  2. Step 2: Convert to fraction form
    265,910,664/408,471,328 = 408,471,328/x
  3. Step 3: Cross multiply
    265,910,664x = 408,471,328 × 408,471,328
  4. Step 4: Simplify right side
    265,910,664x = 166,848,825,798,083,584
  5. Step 5: Solve for x
    x = 166,848,825,798,083,584/265,910,664
  6. Step 6: Final answer
    x = 627,461,957.67

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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.