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Finding the Third Proportional to 361,807.50 and 763,750.50

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Solution

The third proportional to 361,807.50 and 763,750.50 is: 1,612,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,807.50 : 763,750.50 = 763,750.50 : x
  2. Step 2: Convert to fraction form
    361,807.50/763,750.50 = 763,750.50/x
  3. Step 3: Cross multiply
    361,807.50x = 763,750.50 × 763,750.50
  4. Step 4: Simplify right side
    361,807.50x = 583,314,826,250.25
  5. Step 5: Solve for x
    x = 583,314,826,250.25/361,807.50
  6. Step 6: Final answer
    x = 1,612,224.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.