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Finding the Third Proportional to 451,074.45 and 596,239.42

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Solution

The third proportional to 451,074.45 and 596,239.42 is: 788,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,074.45 : 596,239.42 = 596,239.42 : x
  2. Step 2: Convert to fraction form
    451,074.45/596,239.42 = 596,239.42/x
  3. Step 3: Cross multiply
    451,074.45x = 596,239.42 × 596,239.42
  4. Step 4: Simplify right side
    451,074.45x = 355,501,443,539.71
  5. Step 5: Solve for x
    x = 355,501,443,539.71/451,074.45
  6. Step 6: Final answer
    x = 788,121.44

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.