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Finding the Third Proportional to 562,881 and 829,438

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Solution

The third proportional to 562,881 and 829,438 is: 1,222,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,881 : 829,438 = 829,438 : x
  2. Step 2: Convert to fraction form
    562,881/829,438 = 829,438/x
  3. Step 3: Cross multiply
    562,881x = 829,438 × 829,438
  4. Step 4: Simplify right side
    562,881x = 687,967,395,844
  5. Step 5: Solve for x
    x = 687,967,395,844/562,881
  6. Step 6: Final answer
    x = 1,222,225.29

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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.