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Finding the Third Proportional to 273,241,304 and 419,728,566

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Solution

The third proportional to 273,241,304 and 419,728,566 is: 644,749,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,241,304 : 419,728,566 = 419,728,566 : x
  2. Step 2: Convert to fraction form
    273,241,304/419,728,566 = 419,728,566/x
  3. Step 3: Cross multiply
    273,241,304x = 419,728,566 × 419,728,566
  4. Step 4: Simplify right side
    273,241,304x = 176,172,069,116,416,352
  5. Step 5: Solve for x
    x = 176,172,069,116,416,352/273,241,304
  6. Step 6: Final answer
    x = 644,749,042.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.