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Finding the Third Proportional to 332,569.13 and 753,914.25

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Solution

The third proportional to 332,569.13 and 753,914.25 is: 1,709,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,569.13 : 753,914.25 = 753,914.25 : x
  2. Step 2: Convert to fraction form
    332,569.13/753,914.25 = 753,914.25/x
  3. Step 3: Cross multiply
    332,569.13x = 753,914.25 × 753,914.25
  4. Step 4: Simplify right side
    332,569.13x = 568,386,696,353.06
  5. Step 5: Solve for x
    x = 568,386,696,353.06/332,569.13
  6. Step 6: Final answer
    x = 1,709,078.36

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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.