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Finding the Third Proportional to 491,328 and 736,848

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Solution

The third proportional to 491,328 and 736,848 is: 1,105,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,328 : 736,848 = 736,848 : x
  2. Step 2: Convert to fraction form
    491,328/736,848 = 736,848/x
  3. Step 3: Cross multiply
    491,328x = 736,848 × 736,848
  4. Step 4: Simplify right side
    491,328x = 542,944,975,104
  5. Step 5: Solve for x
    x = 542,944,975,104/491,328
  6. Step 6: Final answer
    x = 1,105,056.04

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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.