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Finding the Third Proportional to 259,930,524 and 570,871,920

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Solution

The third proportional to 259,930,524 and 570,871,920 is: 1,253,776,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,930,524 : 570,871,920 = 570,871,920 : x
  2. Step 2: Convert to fraction form
    259,930,524/570,871,920 = 570,871,920/x
  3. Step 3: Cross multiply
    259,930,524x = 570,871,920 × 570,871,920
  4. Step 4: Simplify right side
    259,930,524x = 325,894,749,044,486,400
  5. Step 5: Solve for x
    x = 325,894,749,044,486,400/259,930,524
  6. Step 6: Final answer
    x = 1,253,776,370.81

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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.