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Finding the Third Proportional to 332,514 and 712,286

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Solution

The third proportional to 332,514 and 712,286 is: 1,525,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,514 : 712,286 = 712,286 : x
  2. Step 2: Convert to fraction form
    332,514/712,286 = 712,286/x
  3. Step 3: Cross multiply
    332,514x = 712,286 × 712,286
  4. Step 4: Simplify right side
    332,514x = 507,351,345,796
  5. Step 5: Solve for x
    x = 507,351,345,796/332,514
  6. Step 6: Final answer
    x = 1,525,804.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.