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Finding the Third Proportional to 371,453 and 814,110

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Solution

The third proportional to 371,453 and 814,110 is: 1,784,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,453 : 814,110 = 814,110 : x
  2. Step 2: Convert to fraction form
    371,453/814,110 = 814,110/x
  3. Step 3: Cross multiply
    371,453x = 814,110 × 814,110
  4. Step 4: Simplify right side
    371,453x = 662,775,092,100
  5. Step 5: Solve for x
    x = 662,775,092,100/371,453
  6. Step 6: Final answer
    x = 1,784,277.13

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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.