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Finding the Third Proportional to 339,102 and 724,841

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Solution

The third proportional to 339,102 and 724,841 is: 1,549,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,102 : 724,841 = 724,841 : x
  2. Step 2: Convert to fraction form
    339,102/724,841 = 724,841/x
  3. Step 3: Cross multiply
    339,102x = 724,841 × 724,841
  4. Step 4: Simplify right side
    339,102x = 525,394,475,281
  5. Step 5: Solve for x
    x = 525,394,475,281/339,102
  6. Step 6: Final answer
    x = 1,549,370.03

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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.