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Finding the Third Proportional to 333,271 and 474,965.25

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Solution

The third proportional to 333,271 and 474,965.25 is: 676,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,271 : 474,965.25 = 474,965.25 : x
  2. Step 2: Convert to fraction form
    333,271/474,965.25 = 474,965.25/x
  3. Step 3: Cross multiply
    333,271x = 474,965.25 × 474,965.25
  4. Step 4: Simplify right side
    333,271x = 225,591,988,707.56
  5. Step 5: Solve for x
    x = 225,591,988,707.56/333,271
  6. Step 6: Final answer
    x = 676,902.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.