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Finding the Third Proportional to 370,832.50 and 807,761

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Solution

The third proportional to 370,832.50 and 807,761 is: 1,759,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,832.50 : 807,761 = 807,761 : x
  2. Step 2: Convert to fraction form
    370,832.50/807,761 = 807,761/x
  3. Step 3: Cross multiply
    370,832.50x = 807,761 × 807,761
  4. Step 4: Simplify right side
    370,832.50x = 652,477,833,121
  5. Step 5: Solve for x
    x = 652,477,833,121/370,832.50
  6. Step 6: Final answer
    x = 1,759,494.74

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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.