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Finding the Third Proportional to 491,222 and 738,655

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Solution

The third proportional to 491,222 and 738,655 is: 1,110,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,222 : 738,655 = 738,655 : x
  2. Step 2: Convert to fraction form
    491,222/738,655 = 738,655/x
  3. Step 3: Cross multiply
    491,222x = 738,655 × 738,655
  4. Step 4: Simplify right side
    491,222x = 545,611,209,025
  5. Step 5: Solve for x
    x = 545,611,209,025/491,222
  6. Step 6: Final answer
    x = 1,110,722.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.