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Finding the Third Proportional to 304,115,892.75 and 471,115,447.88

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Solution

The third proportional to 304,115,892.75 and 471,115,447.88 is: 729,819,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,115,892.75 : 471,115,447.88 = 471,115,447.88 : x
  2. Step 2: Convert to fraction form
    304,115,892.75/471,115,447.88 = 471,115,447.88/x
  3. Step 3: Cross multiply
    304,115,892.75x = 471,115,447.88 × 471,115,447.88
  4. Step 4: Simplify right side
    304,115,892.75x = 221,949,765,226,461,856
  5. Step 5: Solve for x
    x = 221,949,765,226,461,856/304,115,892.75
  6. Step 6: Final answer
    x = 729,819,685.58

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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.