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Finding the Third Proportional to 371,488 and 814,200

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Solution

The third proportional to 371,488 and 814,200 is: 1,784,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,488 : 814,200 = 814,200 : x
  2. Step 2: Convert to fraction form
    371,488/814,200 = 814,200/x
  3. Step 3: Cross multiply
    371,488x = 814,200 × 814,200
  4. Step 4: Simplify right side
    371,488x = 662,921,640,000
  5. Step 5: Solve for x
    x = 662,921,640,000/371,488
  6. Step 6: Final answer
    x = 1,784,503.51

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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.