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Finding the Third Proportional to 383,613.47 and 580,751.02

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Solution

The third proportional to 383,613.47 and 580,751.02 is: 879,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,613.47 : 580,751.02 = 580,751.02 : x
  2. Step 2: Convert to fraction form
    383,613.47/580,751.02 = 580,751.02/x
  3. Step 3: Cross multiply
    383,613.47x = 580,751.02 × 580,751.02
  4. Step 4: Simplify right side
    383,613.47x = 337,271,742,149.47
  5. Step 5: Solve for x
    x = 337,271,742,149.47/383,613.47
  6. Step 6: Final answer
    x = 879,196.82

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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.