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Finding the Third Proportional to 551,500 and 884,838

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Solution

The third proportional to 551,500 and 884,838 is: 1,419,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,500 : 884,838 = 884,838 : x
  2. Step 2: Convert to fraction form
    551,500/884,838 = 884,838/x
  3. Step 3: Cross multiply
    551,500x = 884,838 × 884,838
  4. Step 4: Simplify right side
    551,500x = 782,938,286,244
  5. Step 5: Solve for x
    x = 782,938,286,244/551,500
  6. Step 6: Final answer
    x = 1,419,652.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.