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Finding the Third Proportional to 525,042 and 792,369

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Solution

The third proportional to 525,042 and 792,369 is: 1,195,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,042 : 792,369 = 792,369 : x
  2. Step 2: Convert to fraction form
    525,042/792,369 = 792,369/x
  3. Step 3: Cross multiply
    525,042x = 792,369 × 792,369
  4. Step 4: Simplify right side
    525,042x = 627,848,632,161
  5. Step 5: Solve for x
    x = 627,848,632,161/525,042
  6. Step 6: Final answer
    x = 1,195,806.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.