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Finding the Third Proportional to 562,258 and 822,299

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Solution

The third proportional to 562,258 and 822,299 is: 1,202,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,258 : 822,299 = 822,299 : x
  2. Step 2: Convert to fraction form
    562,258/822,299 = 822,299/x
  3. Step 3: Cross multiply
    562,258x = 822,299 × 822,299
  4. Step 4: Simplify right side
    562,258x = 676,175,645,401
  5. Step 5: Solve for x
    x = 676,175,645,401/562,258
  6. Step 6: Final answer
    x = 1,202,607.42

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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.