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Finding the Third Proportional to 351,604,758 and 517,244,148

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Solution

The third proportional to 351,604,758 and 517,244,148 is: 760,915,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,604,758 : 517,244,148 = 517,244,148 : x
  2. Step 2: Convert to fraction form
    351,604,758/517,244,148 = 517,244,148/x
  3. Step 3: Cross multiply
    351,604,758x = 517,244,148 × 517,244,148
  4. Step 4: Simplify right side
    351,604,758x = 267,541,508,640,245,888
  5. Step 5: Solve for x
    x = 267,541,508,640,245,888/351,604,758
  6. Step 6: Final answer
    x = 760,915,495.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.