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Finding the Third Proportional to 349,821 and 540,191.25

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Solution

The third proportional to 349,821 and 540,191.25 is: 834,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,821 : 540,191.25 = 540,191.25 : x
  2. Step 2: Convert to fraction form
    349,821/540,191.25 = 540,191.25/x
  3. Step 3: Cross multiply
    349,821x = 540,191.25 × 540,191.25
  4. Step 4: Simplify right side
    349,821x = 291,806,586,576.56
  5. Step 5: Solve for x
    x = 291,806,586,576.56/349,821
  6. Step 6: Final answer
    x = 834,159.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.