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Finding the Third Proportional to 562,264 and 822,307

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Solution

The third proportional to 562,264 and 822,307 is: 1,202,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,264 : 822,307 = 822,307 : x
  2. Step 2: Convert to fraction form
    562,264/822,307 = 822,307/x
  3. Step 3: Cross multiply
    562,264x = 822,307 × 822,307
  4. Step 4: Simplify right side
    562,264x = 676,188,802,249
  5. Step 5: Solve for x
    x = 676,188,802,249/562,264
  6. Step 6: Final answer
    x = 1,202,617.99

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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.