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Finding the Third Proportional to 304,948,775 and 471,196,416

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Solution

The third proportional to 304,948,775 and 471,196,416 is: 728,076,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,948,775 : 471,196,416 = 471,196,416 : x
  2. Step 2: Convert to fraction form
    304,948,775/471,196,416 = 471,196,416/x
  3. Step 3: Cross multiply
    304,948,775x = 471,196,416 × 471,196,416
  4. Step 4: Simplify right side
    304,948,775x = 222,026,062,451,245,056
  5. Step 5: Solve for x
    x = 222,026,062,451,245,056/304,948,775
  6. Step 6: Final answer
    x = 728,076,584.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.