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Finding the Third Proportional to 356,610,698 and 776,530,328

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Solution

The third proportional to 356,610,698 and 776,530,328 is: 1,690,917,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,610,698 : 776,530,328 = 776,530,328 : x
  2. Step 2: Convert to fraction form
    356,610,698/776,530,328 = 776,530,328/x
  3. Step 3: Cross multiply
    356,610,698x = 776,530,328 × 776,530,328
  4. Step 4: Simplify right side
    356,610,698x = 602,999,350,303,787,520
  5. Step 5: Solve for x
    x = 602,999,350,303,787,520/356,610,698
  6. Step 6: Final answer
    x = 1,690,917,725.37

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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.