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Finding the Third Proportional to 303,228,100 and 652,419,288

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Solution

The third proportional to 303,228,100 and 652,419,288 is: 1,403,731,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,228,100 : 652,419,288 = 652,419,288 : x
  2. Step 2: Convert to fraction form
    303,228,100/652,419,288 = 652,419,288/x
  3. Step 3: Cross multiply
    303,228,100x = 652,419,288 × 652,419,288
  4. Step 4: Simplify right side
    303,228,100x = 425,650,927,354,426,944
  5. Step 5: Solve for x
    x = 425,650,927,354,426,944/303,228,100
  6. Step 6: Final answer
    x = 1,403,731,802.41

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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.