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Finding the Third Proportional to 407,883 and 573,366

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Solution

The third proportional to 407,883 and 573,366 is: 805,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,883 : 573,366 = 573,366 : x
  2. Step 2: Convert to fraction form
    407,883/573,366 = 573,366/x
  3. Step 3: Cross multiply
    407,883x = 573,366 × 573,366
  4. Step 4: Simplify right side
    407,883x = 328,748,569,956
  5. Step 5: Solve for x
    x = 328,748,569,956/407,883
  6. Step 6: Final answer
    x = 805,987.43

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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.