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Finding the Third Proportional to 303,359,690 and 458,227,623

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Solution

The third proportional to 303,359,690 and 458,227,623 is: 692,157,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,359,690 : 458,227,623 = 458,227,623 : x
  2. Step 2: Convert to fraction form
    303,359,690/458,227,623 = 458,227,623/x
  3. Step 3: Cross multiply
    303,359,690x = 458,227,623 × 458,227,623
  4. Step 4: Simplify right side
    303,359,690x = 209,972,554,480,230,144
  5. Step 5: Solve for x
    x = 209,972,554,480,230,144/303,359,690
  6. Step 6: Final answer
    x = 692,157,070.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.