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Finding the Third Proportional to 328,829.63 and 717,168.94

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Solution

The third proportional to 328,829.63 and 717,168.94 is: 1,564,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,829.63 : 717,168.94 = 717,168.94 : x
  2. Step 2: Convert to fraction form
    328,829.63/717,168.94 = 717,168.94/x
  3. Step 3: Cross multiply
    328,829.63x = 717,168.94 × 717,168.94
  4. Step 4: Simplify right side
    328,829.63x = 514,331,284,914.88
  5. Step 5: Solve for x
    x = 514,331,284,914.88/328,829.63
  6. Step 6: Final answer
    x = 1,564,126.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.