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Finding the Third Proportional to 344,107.50 and 740,941.50

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Solution

The third proportional to 344,107.50 and 740,941.50 is: 1,595,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,107.50 : 740,941.50 = 740,941.50 : x
  2. Step 2: Convert to fraction form
    344,107.50/740,941.50 = 740,941.50/x
  3. Step 3: Cross multiply
    344,107.50x = 740,941.50 × 740,941.50
  4. Step 4: Simplify right side
    344,107.50x = 548,994,306,422.25
  5. Step 5: Solve for x
    x = 548,994,306,422.25/344,107.50
  6. Step 6: Final answer
    x = 1,595,415.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.