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Finding the Third Proportional to 362,231,908 and 564,871,211

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Solution

The third proportional to 362,231,908 and 564,871,211 is: 880,870,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,231,908 : 564,871,211 = 564,871,211 : x
  2. Step 2: Convert to fraction form
    362,231,908/564,871,211 = 564,871,211/x
  3. Step 3: Cross multiply
    362,231,908x = 564,871,211 × 564,871,211
  4. Step 4: Simplify right side
    362,231,908x = 319,079,485,016,606,528
  5. Step 5: Solve for x
    x = 319,079,485,016,606,528/362,231,908
  6. Step 6: Final answer
    x = 880,870,729.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.