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Finding the Third Proportional to 525,538.50 and 801,430.50

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Solution

The third proportional to 525,538.50 and 801,430.50 is: 1,222,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,538.50 : 801,430.50 = 801,430.50 : x
  2. Step 2: Convert to fraction form
    525,538.50/801,430.50 = 801,430.50/x
  3. Step 3: Cross multiply
    525,538.50x = 801,430.50 × 801,430.50
  4. Step 4: Simplify right side
    525,538.50x = 642,290,846,330.25
  5. Step 5: Solve for x
    x = 642,290,846,330.25/525,538.50
  6. Step 6: Final answer
    x = 1,222,157.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.