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Finding the Third Proportional to 562,982 and 829,634

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Solution

The third proportional to 562,982 and 829,634 is: 1,222,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,982 : 829,634 = 829,634 : x
  2. Step 2: Convert to fraction form
    562,982/829,634 = 829,634/x
  3. Step 3: Cross multiply
    562,982x = 829,634 × 829,634
  4. Step 4: Simplify right side
    562,982x = 688,292,573,956
  5. Step 5: Solve for x
    x = 688,292,573,956/562,982
  6. Step 6: Final answer
    x = 1,222,583.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.