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Finding the Third Proportional to 344,212.50 and 745,629

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Solution

The third proportional to 344,212.50 and 745,629 is: 1,615,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,212.50 : 745,629 = 745,629 : x
  2. Step 2: Convert to fraction form
    344,212.50/745,629 = 745,629/x
  3. Step 3: Cross multiply
    344,212.50x = 745,629 × 745,629
  4. Step 4: Simplify right side
    344,212.50x = 555,962,605,641
  5. Step 5: Solve for x
    x = 555,962,605,641/344,212.50
  6. Step 6: Final answer
    x = 1,615,172.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.