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Finding the Third Proportional to 259,930,588 and 570,872,056

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Solution

The third proportional to 259,930,588 and 570,872,056 is: 1,253,776,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,930,588 : 570,872,056 = 570,872,056 : x
  2. Step 2: Convert to fraction form
    259,930,588/570,872,056 = 570,872,056/x
  3. Step 3: Cross multiply
    259,930,588x = 570,872,056 × 570,872,056
  4. Step 4: Simplify right side
    259,930,588x = 325,894,904,321,667,136
  5. Step 5: Solve for x
    x = 325,894,904,321,667,136/259,930,588
  6. Step 6: Final answer
    x = 1,253,776,659.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.