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Finding the Third Proportional to 259,865,112 and 577,831,965

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Solution

The third proportional to 259,865,112 and 577,831,965 is: 1,284,858,045.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865,112 : 577,831,965 = 577,831,965 : x
  2. Step 2: Convert to fraction form
    259,865,112/577,831,965 = 577,831,965/x
  3. Step 3: Cross multiply
    259,865,112x = 577,831,965 × 577,831,965
  4. Step 4: Simplify right side
    259,865,112x = 333,889,779,775,761,216
  5. Step 5: Solve for x
    x = 333,889,779,775,761,216/259,865,112
  6. Step 6: Final answer
    x = 1,284,858,045.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.