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Finding the Third Proportional to 363,722 and 785,521

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Solution

The third proportional to 363,722 and 785,521 is: 1,696,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,722 : 785,521 = 785,521 : x
  2. Step 2: Convert to fraction form
    363,722/785,521 = 785,521/x
  3. Step 3: Cross multiply
    363,722x = 785,521 × 785,521
  4. Step 4: Simplify right side
    363,722x = 617,043,241,441
  5. Step 5: Solve for x
    x = 617,043,241,441/363,722
  6. Step 6: Final answer
    x = 1,696,469.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.