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Finding the Third Proportional to 344,265.75 and 749,769.75

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Solution

The third proportional to 344,265.75 and 749,769.75 is: 1,632,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,265.75 : 749,769.75 = 749,769.75 : x
  2. Step 2: Convert to fraction form
    344,265.75/749,769.75 = 749,769.75/x
  3. Step 3: Cross multiply
    344,265.75x = 749,769.75 × 749,769.75
  4. Step 4: Simplify right side
    344,265.75x = 562,154,678,015.06
  5. Step 5: Solve for x
    x = 562,154,678,015.06/344,265.75
  6. Step 6: Final answer
    x = 1,632,909.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.