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Finding the Third Proportional to 632,393 and 1,492,799.50

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Solution

The third proportional to 632,393 and 1,492,799.50 is: 3,523,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,393 : 1,492,799.50 = 1,492,799.50 : x
  2. Step 2: Convert to fraction form
    632,393/1,492,799.50 = 1,492,799.50/x
  3. Step 3: Cross multiply
    632,393x = 1,492,799.50 × 1,492,799.50
  4. Step 4: Simplify right side
    632,393x = 2,228,450,347,200.25
  5. Step 5: Solve for x
    x = 2,228,450,347,200.25/632,393
  6. Step 6: Final answer
    x = 3,523,837.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.