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Finding the Third Proportional to 344,089.50 and 809,669.25

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Solution

The third proportional to 344,089.50 and 809,669.25 is: 1,905,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,089.50 : 809,669.25 = 809,669.25 : x
  2. Step 2: Convert to fraction form
    344,089.50/809,669.25 = 809,669.25/x
  3. Step 3: Cross multiply
    344,089.50x = 809,669.25 × 809,669.25
  4. Step 4: Simplify right side
    344,089.50x = 655,564,294,395.56
  5. Step 5: Solve for x
    x = 655,564,294,395.56/344,089.50
  6. Step 6: Final answer
    x = 1,905,214.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.