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Finding the Third Proportional to 259,865,112 and 577,831,964

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Solution

The third proportional to 259,865,112 and 577,831,964 is: 1,284,858,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865,112 : 577,831,964 = 577,831,964 : x
  2. Step 2: Convert to fraction form
    259,865,112/577,831,964 = 577,831,964/x
  3. Step 3: Cross multiply
    259,865,112x = 577,831,964 × 577,831,964
  4. Step 4: Simplify right side
    259,865,112x = 333,889,778,620,097,280
  5. Step 5: Solve for x
    x = 333,889,778,620,097,280/259,865,112
  6. Step 6: Final answer
    x = 1,284,858,040.58

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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.