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Finding the Third Proportional to 491,040 and 743,200

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Solution

The third proportional to 491,040 and 743,200 is: 1,124,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,040 : 743,200 = 743,200 : x
  2. Step 2: Convert to fraction form
    491,040/743,200 = 743,200/x
  3. Step 3: Cross multiply
    491,040x = 743,200 × 743,200
  4. Step 4: Simplify right side
    491,040x = 552,346,240,000
  5. Step 5: Solve for x
    x = 552,346,240,000/491,040
  6. Step 6: Final answer
    x = 1,124,849.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.