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Finding the Third Proportional to 275,496,516 and 599,418,490.50

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Solution

The third proportional to 275,496,516 and 599,418,490.50 is: 1,304,199,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,496,516 : 599,418,490.50 = 599,418,490.50 : x
  2. Step 2: Convert to fraction form
    275,496,516/599,418,490.50 = 599,418,490.50/x
  3. Step 3: Cross multiply
    275,496,516x = 599,418,490.50 × 599,418,490.50
  4. Step 4: Simplify right side
    275,496,516x = 359,302,526,753,298,560
  5. Step 5: Solve for x
    x = 359,302,526,753,298,560/275,496,516
  6. Step 6: Final answer
    x = 1,304,199,893.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.