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Finding the Third Proportional to 371,590 and 814,378

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Solution

The third proportional to 371,590 and 814,378 is: 1,784,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,590 : 814,378 = 814,378 : x
  2. Step 2: Convert to fraction form
    371,590/814,378 = 814,378/x
  3. Step 3: Cross multiply
    371,590x = 814,378 × 814,378
  4. Step 4: Simplify right side
    371,590x = 663,211,526,884
  5. Step 5: Solve for x
    x = 663,211,526,884/371,590
  6. Step 6: Final answer
    x = 1,784,793.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.