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Finding the Third Proportional to 370,097.50 and 796,328

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Solution

The third proportional to 370,097.50 and 796,328 is: 1,713,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,097.50 : 796,328 = 796,328 : x
  2. Step 2: Convert to fraction form
    370,097.50/796,328 = 796,328/x
  3. Step 3: Cross multiply
    370,097.50x = 796,328 × 796,328
  4. Step 4: Simplify right side
    370,097.50x = 634,138,283,584
  5. Step 5: Solve for x
    x = 634,138,283,584/370,097.50
  6. Step 6: Final answer
    x = 1,713,435.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.