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Finding the Third Proportional to 371,502 and 814,203

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Solution

The third proportional to 371,502 and 814,203 is: 1,784,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,502 : 814,203 = 814,203 : x
  2. Step 2: Convert to fraction form
    371,502/814,203 = 814,203/x
  3. Step 3: Cross multiply
    371,502x = 814,203 × 814,203
  4. Step 4: Simplify right side
    371,502x = 662,926,525,209
  5. Step 5: Solve for x
    x = 662,926,525,209/371,502
  6. Step 6: Final answer
    x = 1,784,449.41

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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.