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Finding the Third Proportional to 352,129 and 759,013

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Solution

The third proportional to 352,129 and 759,013 is: 1,636,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,129 : 759,013 = 759,013 : x
  2. Step 2: Convert to fraction form
    352,129/759,013 = 759,013/x
  3. Step 3: Cross multiply
    352,129x = 759,013 × 759,013
  4. Step 4: Simplify right side
    352,129x = 576,100,734,169
  5. Step 5: Solve for x
    x = 576,100,734,169/352,129
  6. Step 6: Final answer
    x = 1,636,050.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.