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Finding the Third Proportional to 281,664 and 424,926

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Solution

The third proportional to 281,664 and 424,926 is: 641,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,664 : 424,926 = 424,926 : x
  2. Step 2: Convert to fraction form
    281,664/424,926 = 424,926/x
  3. Step 3: Cross multiply
    281,664x = 424,926 × 424,926
  4. Step 4: Simplify right side
    281,664x = 180,562,105,476
  5. Step 5: Solve for x
    x = 180,562,105,476/281,664
  6. Step 6: Final answer
    x = 641,054.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.