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Finding the Third Proportional to 362,231,702 and 564,870,891

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Solution

The third proportional to 362,231,702 and 564,870,891 is: 880,870,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,231,702 : 564,870,891 = 564,870,891 : x
  2. Step 2: Convert to fraction form
    362,231,702/564,870,891 = 564,870,891/x
  3. Step 3: Cross multiply
    362,231,702x = 564,870,891 × 564,870,891
  4. Step 4: Simplify right side
    362,231,702x = 319,079,123,499,133,888
  5. Step 5: Solve for x
    x = 319,079,123,499,133,888/362,231,702
  6. Step 6: Final answer
    x = 880,870,232.33

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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.