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Finding the Third Proportional to 282,466 and 395,875

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Solution

The third proportional to 282,466 and 395,875 is: 554,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,466 : 395,875 = 395,875 : x
  2. Step 2: Convert to fraction form
    282,466/395,875 = 395,875/x
  3. Step 3: Cross multiply
    282,466x = 395,875 × 395,875
  4. Step 4: Simplify right side
    282,466x = 156,717,015,625
  5. Step 5: Solve for x
    x = 156,717,015,625/282,466
  6. Step 6: Final answer
    x = 554,817.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.