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Finding the Third Proportional to 407,885 and 573,373

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Solution

The third proportional to 407,885 and 573,373 is: 806,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,885 : 573,373 = 573,373 : x
  2. Step 2: Convert to fraction form
    407,885/573,373 = 573,373/x
  3. Step 3: Cross multiply
    407,885x = 573,373 × 573,373
  4. Step 4: Simplify right side
    407,885x = 328,756,597,129
  5. Step 5: Solve for x
    x = 328,756,597,129/407,885
  6. Step 6: Final answer
    x = 806,003.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.