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Finding the Third Proportional to 307,492 and 675,523

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Solution

The third proportional to 307,492 and 675,523 is: 1,484,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,492 : 675,523 = 675,523 : x
  2. Step 2: Convert to fraction form
    307,492/675,523 = 675,523/x
  3. Step 3: Cross multiply
    307,492x = 675,523 × 675,523
  4. Step 4: Simplify right side
    307,492x = 456,331,323,529
  5. Step 5: Solve for x
    x = 456,331,323,529/307,492
  6. Step 6: Final answer
    x = 1,484,042.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.