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Finding the Third Proportional to 371,460 and 814,125

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Solution

The third proportional to 371,460 and 814,125 is: 1,784,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,460 : 814,125 = 814,125 : x
  2. Step 2: Convert to fraction form
    371,460/814,125 = 814,125/x
  3. Step 3: Cross multiply
    371,460x = 814,125 × 814,125
  4. Step 4: Simplify right side
    371,460x = 662,799,515,625
  5. Step 5: Solve for x
    x = 662,799,515,625/371,460
  6. Step 6: Final answer
    x = 1,784,309.25

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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.