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Finding the Third Proportional to 332,574 and 753,927

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Solution

The third proportional to 332,574 and 753,927 is: 1,709,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,574 : 753,927 = 753,927 : x
  2. Step 2: Convert to fraction form
    332,574/753,927 = 753,927/x
  3. Step 3: Cross multiply
    332,574x = 753,927 × 753,927
  4. Step 4: Simplify right side
    332,574x = 568,405,921,329
  5. Step 5: Solve for x
    x = 568,405,921,329/332,574
  6. Step 6: Final answer
    x = 1,709,111.12

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.