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Finding the Third Proportional to 308,295,728 and 727,522,748

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Solution

The third proportional to 308,295,728 and 727,522,748 is: 1,716,823,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,295,728 : 727,522,748 = 727,522,748 : x
  2. Step 2: Convert to fraction form
    308,295,728/727,522,748 = 727,522,748/x
  3. Step 3: Cross multiply
    308,295,728x = 727,522,748 × 727,522,748
  4. Step 4: Simplify right side
    308,295,728x = 529,289,348,857,471,488
  5. Step 5: Solve for x
    x = 529,289,348,857,471,488/308,295,728
  6. Step 6: Final answer
    x = 1,716,823,493.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.