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Finding the Third Proportional to 349,344.50 and 525,765.75

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Solution

The third proportional to 349,344.50 and 525,765.75 is: 791,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,344.50 : 525,765.75 = 525,765.75 : x
  2. Step 2: Convert to fraction form
    349,344.50/525,765.75 = 525,765.75/x
  3. Step 3: Cross multiply
    349,344.50x = 525,765.75 × 525,765.75
  4. Step 4: Simplify right side
    349,344.50x = 276,429,623,873.06
  5. Step 5: Solve for x
    x = 276,429,623,873.06/349,344.50
  6. Step 6: Final answer
    x = 791,280.88

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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.