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Finding the Third Proportional to 299,413,062 and 655,268,706

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Solution

The third proportional to 299,413,062 and 655,268,706 is: 1,434,062,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,413,062 : 655,268,706 = 655,268,706 : x
  2. Step 2: Convert to fraction form
    299,413,062/655,268,706 = 655,268,706/x
  3. Step 3: Cross multiply
    299,413,062x = 655,268,706 × 655,268,706
  4. Step 4: Simplify right side
    299,413,062x = 429,377,077,062,914,432
  5. Step 5: Solve for x
    x = 429,377,077,062,914,432/299,413,062
  6. Step 6: Final answer
    x = 1,434,062,609.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.