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Finding the Third Proportional to 281,800,470 and 452,992,779.75

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Solution

The third proportional to 281,800,470 and 452,992,779.75 is: 728,183,521.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,800,470 : 452,992,779.75 = 452,992,779.75 : x
  2. Step 2: Convert to fraction form
    281,800,470/452,992,779.75 = 452,992,779.75/x
  3. Step 3: Cross multiply
    281,800,470x = 452,992,779.75 × 452,992,779.75
  4. Step 4: Simplify right side
    281,800,470x = 205,202,458,505,632,000
  5. Step 5: Solve for x
    x = 205,202,458,505,632,000/281,800,470
  6. Step 6: Final answer
    x = 728,183,521.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.