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Finding the Third Proportional to 376,382 and 807,340

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Solution

The third proportional to 376,382 and 807,340 is: 1,731,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,382 : 807,340 = 807,340 : x
  2. Step 2: Convert to fraction form
    376,382/807,340 = 807,340/x
  3. Step 3: Cross multiply
    376,382x = 807,340 × 807,340
  4. Step 4: Simplify right side
    376,382x = 651,797,875,600
  5. Step 5: Solve for x
    x = 651,797,875,600/376,382
  6. Step 6: Final answer
    x = 1,731,745.61

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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.