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Finding the Third Proportional to 298,380,248.17 and 627,680,605.62

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Solution

The third proportional to 298,380,248.17 and 627,680,605.62 is: 1,320,405,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,380,248.17 : 627,680,605.62 = 627,680,605.62 : x
  2. Step 2: Convert to fraction form
    298,380,248.17/627,680,605.62 = 627,680,605.62/x
  3. Step 3: Cross multiply
    298,380,248.17x = 627,680,605.62 × 627,680,605.62
  4. Step 4: Simplify right side
    298,380,248.17x = 393,982,942,675,369,088
  5. Step 5: Solve for x
    x = 393,982,942,675,369,088/298,380,248.17
  6. Step 6: Final answer
    x = 1,320,405,573.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.