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Finding the Third Proportional to 303,322,524 and 653,367,564

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Solution

The third proportional to 303,322,524 and 653,367,564 is: 1,407,377,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,322,524 : 653,367,564 = 653,367,564 : x
  2. Step 2: Convert to fraction form
    303,322,524/653,367,564 = 653,367,564/x
  3. Step 3: Cross multiply
    303,322,524x = 653,367,564 × 653,367,564
  4. Step 4: Simplify right side
    303,322,524x = 426,889,173,687,294,080
  5. Step 5: Solve for x
    x = 426,889,173,687,294,080/303,322,524
  6. Step 6: Final answer
    x = 1,407,377,098.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.