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Finding the Third Proportional to 407,946 and 573,462

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Solution

The third proportional to 407,946 and 573,462 is: 806,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,946 : 573,462 = 573,462 : x
  2. Step 2: Convert to fraction form
    407,946/573,462 = 573,462/x
  3. Step 3: Cross multiply
    407,946x = 573,462 × 573,462
  4. Step 4: Simplify right side
    407,946x = 328,858,665,444
  5. Step 5: Solve for x
    x = 328,858,665,444/407,946
  6. Step 6: Final answer
    x = 806,132.83

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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.