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Finding the Third Proportional to 368,280,994.50 and 797,860,257.50

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Solution

The third proportional to 368,280,994.50 and 797,860,257.50 is: 1,728,519,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,280,994.50 : 797,860,257.50 = 797,860,257.50 : x
  2. Step 2: Convert to fraction form
    368,280,994.50/797,860,257.50 = 797,860,257.50/x
  3. Step 3: Cross multiply
    368,280,994.50x = 797,860,257.50 × 797,860,257.50
  4. Step 4: Simplify right side
    368,280,994.50x = 636,580,990,497,966,336
  5. Step 5: Solve for x
    x = 636,580,990,497,966,336/368,280,994.50
  6. Step 6: Final answer
    x = 1,728,519,798.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.