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Finding the Third Proportional to 259,930,512 and 570,871,896

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Solution

The third proportional to 259,930,512 and 570,871,896 is: 1,253,776,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,930,512 : 570,871,896 = 570,871,896 : x
  2. Step 2: Convert to fraction form
    259,930,512/570,871,896 = 570,871,896/x
  3. Step 3: Cross multiply
    259,930,512x = 570,871,896 × 570,871,896
  4. Step 4: Simplify right side
    259,930,512x = 325,894,721,642,634,816
  5. Step 5: Solve for x
    x = 325,894,721,642,634,816/259,930,512
  6. Step 6: Final answer
    x = 1,253,776,323.28

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