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Finding the Third Proportional to 332,131 and 528,742

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Solution

The third proportional to 332,131 and 528,742 is: 841,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,131 : 528,742 = 528,742 : x
  2. Step 2: Convert to fraction form
    332,131/528,742 = 528,742/x
  3. Step 3: Cross multiply
    332,131x = 528,742 × 528,742
  4. Step 4: Simplify right side
    332,131x = 279,568,102,564
  5. Step 5: Solve for x
    x = 279,568,102,564/332,131
  6. Step 6: Final answer
    x = 841,740.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.