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Finding the Third Proportional to 525,035.25 and 792,363.38

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Solution

The third proportional to 525,035.25 and 792,363.38 is: 1,195,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,035.25 : 792,363.38 = 792,363.38 : x
  2. Step 2: Convert to fraction form
    525,035.25/792,363.38 = 792,363.38/x
  3. Step 3: Cross multiply
    525,035.25x = 792,363.38 × 792,363.38
  4. Step 4: Simplify right side
    525,035.25x = 627,839,718,041.39
  5. Step 5: Solve for x
    x = 627,839,718,041.39/525,035.25
  6. Step 6: Final answer
    x = 1,195,804.89

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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.