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Finding the Third Proportional to 265,910,635 and 408,471,295.50

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Solution

The third proportional to 265,910,635 and 408,471,295.50 is: 627,461,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,910,635 : 408,471,295.50 = 408,471,295.50 : x
  2. Step 2: Convert to fraction form
    265,910,635/408,471,295.50 = 408,471,295.50/x
  3. Step 3: Cross multiply
    265,910,635x = 408,471,295.50 × 408,471,295.50
  4. Step 4: Simplify right side
    265,910,635x = 166,848,799,247,448,320
  5. Step 5: Solve for x
    x = 166,848,799,247,448,320/265,910,635
  6. Step 6: Final answer
    x = 627,461,926.25

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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.