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Finding the Third Proportional to 363,638 and 791,365

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Solution

The third proportional to 363,638 and 791,365 is: 1,722,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,638 : 791,365 = 791,365 : x
  2. Step 2: Convert to fraction form
    363,638/791,365 = 791,365/x
  3. Step 3: Cross multiply
    363,638x = 791,365 × 791,365
  4. Step 4: Simplify right side
    363,638x = 626,258,563,225
  5. Step 5: Solve for x
    x = 626,258,563,225/363,638
  6. Step 6: Final answer
    x = 1,722,203.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.