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Finding the Third Proportional to 470,208 and 726,492

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Solution

The third proportional to 470,208 and 726,492 is: 1,122,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,208 : 726,492 = 726,492 : x
  2. Step 2: Convert to fraction form
    470,208/726,492 = 726,492/x
  3. Step 3: Cross multiply
    470,208x = 726,492 × 726,492
  4. Step 4: Simplify right side
    470,208x = 527,790,626,064
  5. Step 5: Solve for x
    x = 527,790,626,064/470,208
  6. Step 6: Final answer
    x = 1,122,462.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.