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Finding the Third Proportional to 525,036 and 792,364.50

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Solution

The third proportional to 525,036 and 792,364.50 is: 1,195,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,036 : 792,364.50 = 792,364.50 : x
  2. Step 2: Convert to fraction form
    525,036/792,364.50 = 792,364.50/x
  3. Step 3: Cross multiply
    525,036x = 792,364.50 × 792,364.50
  4. Step 4: Simplify right side
    525,036x = 627,841,500,860.25
  5. Step 5: Solve for x
    x = 627,841,500,860.25/525,036
  6. Step 6: Final answer
    x = 1,195,806.57

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