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Finding the Third Proportional to 259,865,114 and 577,831,969

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Solution

The third proportional to 259,865,114 and 577,831,969 is: 1,284,858,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865,114 : 577,831,969 = 577,831,969 : x
  2. Step 2: Convert to fraction form
    259,865,114/577,831,969 = 577,831,969/x
  3. Step 3: Cross multiply
    259,865,114x = 577,831,969 × 577,831,969
  4. Step 4: Simplify right side
    259,865,114x = 333,889,784,398,416,960
  5. Step 5: Solve for x
    x = 333,889,784,398,416,960/259,865,114
  6. Step 6: Final answer
    x = 1,284,858,052.93

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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.