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Finding the Third Proportional to 259,454,259 and 417,806,805

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Solution

The third proportional to 259,454,259 and 417,806,805 is: 672,806,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,454,259 : 417,806,805 = 417,806,805 : x
  2. Step 2: Convert to fraction form
    259,454,259/417,806,805 = 417,806,805/x
  3. Step 3: Cross multiply
    259,454,259x = 417,806,805 × 417,806,805
  4. Step 4: Simplify right side
    259,454,259x = 174,562,526,304,308,032
  5. Step 5: Solve for x
    x = 174,562,526,304,308,032/259,454,259
  6. Step 6: Final answer
    x = 672,806,555.49

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.