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Finding the Third Proportional to 562,260 and 822,302

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Solution

The third proportional to 562,260 and 822,302 is: 1,202,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,260 : 822,302 = 822,302 : x
  2. Step 2: Convert to fraction form
    562,260/822,302 = 822,302/x
  3. Step 3: Cross multiply
    562,260x = 822,302 × 822,302
  4. Step 4: Simplify right side
    562,260x = 676,180,579,204
  5. Step 5: Solve for x
    x = 676,180,579,204/562,260
  6. Step 6: Final answer
    x = 1,202,611.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.