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Finding the Third Proportional to 366,022.50 and 671,295

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Solution

The third proportional to 366,022.50 and 671,295 is: 1,231,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,022.50 : 671,295 = 671,295 : x
  2. Step 2: Convert to fraction form
    366,022.50/671,295 = 671,295/x
  3. Step 3: Cross multiply
    366,022.50x = 671,295 × 671,295
  4. Step 4: Simplify right side
    366,022.50x = 450,636,977,025
  5. Step 5: Solve for x
    x = 450,636,977,025/366,022.50
  6. Step 6: Final answer
    x = 1,231,172.88

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.