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Finding the Third Proportional to 328,034 and 717,340

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Solution

The third proportional to 328,034 and 717,340 is: 1,568,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,034 : 717,340 = 717,340 : x
  2. Step 2: Convert to fraction form
    328,034/717,340 = 717,340/x
  3. Step 3: Cross multiply
    328,034x = 717,340 × 717,340
  4. Step 4: Simplify right side
    328,034x = 514,576,675,600
  5. Step 5: Solve for x
    x = 514,576,675,600/328,034
  6. Step 6: Final answer
    x = 1,568,668.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.