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Finding the Third Proportional to 307,492 and 675,521

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Solution

The third proportional to 307,492 and 675,521 is: 1,484,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,492 : 675,521 = 675,521 : x
  2. Step 2: Convert to fraction form
    307,492/675,521 = 675,521/x
  3. Step 3: Cross multiply
    307,492x = 675,521 × 675,521
  4. Step 4: Simplify right side
    307,492x = 456,328,621,441
  5. Step 5: Solve for x
    x = 456,328,621,441/307,492
  6. Step 6: Final answer
    x = 1,484,034.13

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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.