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Finding the Third Proportional to 332,604 and 513,166.50

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Solution

The third proportional to 332,604 and 513,166.50 is: 791,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,604 : 513,166.50 = 513,166.50 : x
  2. Step 2: Convert to fraction form
    332,604/513,166.50 = 513,166.50/x
  3. Step 3: Cross multiply
    332,604x = 513,166.50 × 513,166.50
  4. Step 4: Simplify right side
    332,604x = 263,339,856,722.25
  5. Step 5: Solve for x
    x = 263,339,856,722.25/332,604
  6. Step 6: Final answer
    x = 791,751.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.