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Finding the Third Proportional to 304,063,176 and 663,861,232

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Solution

The third proportional to 304,063,176 and 663,861,232 is: 1,449,408,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,063,176 : 663,861,232 = 663,861,232 : x
  2. Step 2: Convert to fraction form
    304,063,176/663,861,232 = 663,861,232/x
  3. Step 3: Cross multiply
    304,063,176x = 663,861,232 × 663,861,232
  4. Step 4: Simplify right side
    304,063,176x = 440,711,735,352,557,824
  5. Step 5: Solve for x
    x = 440,711,735,352,557,824/304,063,176
  6. Step 6: Final answer
    x = 1,449,408,445.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.