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Finding the Third Proportional to 261,917,643.75 and 570,336,375.25

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Solution

The third proportional to 261,917,643.75 and 570,336,375.25 is: 1,241,930,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,917,643.75 : 570,336,375.25 = 570,336,375.25 : x
  2. Step 2: Convert to fraction form
    261,917,643.75/570,336,375.25 = 570,336,375.25/x
  3. Step 3: Cross multiply
    261,917,643.75x = 570,336,375.25 × 570,336,375.25
  4. Step 4: Simplify right side
    261,917,643.75x = 325,283,580,933,308,800
  5. Step 5: Solve for x
    x = 325,283,580,933,308,800/261,917,643.75
  6. Step 6: Final answer
    x = 1,241,930,769.83

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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.