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Finding the Third Proportional to 275,929,698 and 600,848,196

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Solution

The third proportional to 275,929,698 and 600,848,196 is: 1,308,371,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,929,698 : 600,848,196 = 600,848,196 : x
  2. Step 2: Convert to fraction form
    275,929,698/600,848,196 = 600,848,196/x
  3. Step 3: Cross multiply
    275,929,698x = 600,848,196 × 600,848,196
  4. Step 4: Simplify right side
    275,929,698x = 361,018,554,636,454,400
  5. Step 5: Solve for x
    x = 361,018,554,636,454,400/275,929,698
  6. Step 6: Final answer
    x = 1,308,371,506.41

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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.