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Finding the Third Proportional to 360,652 and 561,388

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Solution

The third proportional to 360,652 and 561,388 is: 873,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,652 : 561,388 = 561,388 : x
  2. Step 2: Convert to fraction form
    360,652/561,388 = 561,388/x
  3. Step 3: Cross multiply
    360,652x = 561,388 × 561,388
  4. Step 4: Simplify right side
    360,652x = 315,156,486,544
  5. Step 5: Solve for x
    x = 315,156,486,544/360,652
  6. Step 6: Final answer
    x = 873,852.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.