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Finding the Third Proportional to 307,894.50 and 671,517

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Solution

The third proportional to 307,894.50 and 671,517 is: 1,464,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,894.50 : 671,517 = 671,517 : x
  2. Step 2: Convert to fraction form
    307,894.50/671,517 = 671,517/x
  3. Step 3: Cross multiply
    307,894.50x = 671,517 × 671,517
  4. Step 4: Simplify right side
    307,894.50x = 450,935,081,289
  5. Step 5: Solve for x
    x = 450,935,081,289/307,894.50
  6. Step 6: Final answer
    x = 1,464,576.60

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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.