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Finding the Third Proportional to 259,274,924 and 401,333,888

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Solution

The third proportional to 259,274,924 and 401,333,888 is: 621,228,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,274,924 : 401,333,888 = 401,333,888 : x
  2. Step 2: Convert to fraction form
    259,274,924/401,333,888 = 401,333,888/x
  3. Step 3: Cross multiply
    259,274,924x = 401,333,888 × 401,333,888
  4. Step 4: Simplify right side
    259,274,924x = 161,068,889,657,196,544
  5. Step 5: Solve for x
    x = 161,068,889,657,196,544/259,274,924
  6. Step 6: Final answer
    x = 621,228,181.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.