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Finding the Third Proportional to 370,320.75 and 796,837.50

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Solution

The third proportional to 370,320.75 and 796,837.50 is: 1,714,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,320.75 : 796,837.50 = 796,837.50 : x
  2. Step 2: Convert to fraction form
    370,320.75/796,837.50 = 796,837.50/x
  3. Step 3: Cross multiply
    370,320.75x = 796,837.50 × 796,837.50
  4. Step 4: Simplify right side
    370,320.75x = 634,950,001,406.25
  5. Step 5: Solve for x
    x = 634,950,001,406.25/370,320.75
  6. Step 6: Final answer
    x = 1,714,594.72

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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.