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Finding the Third Proportional to 384,471 and 591,765

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Solution

The third proportional to 384,471 and 591,765 is: 910,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,471 : 591,765 = 591,765 : x
  2. Step 2: Convert to fraction form
    384,471/591,765 = 591,765/x
  3. Step 3: Cross multiply
    384,471x = 591,765 × 591,765
  4. Step 4: Simplify right side
    384,471x = 350,185,815,225
  5. Step 5: Solve for x
    x = 350,185,815,225/384,471
  6. Step 6: Final answer
    x = 910,825.04

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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.