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Finding the Third Proportional to 369,909.75 and 806,841.75

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Solution

The third proportional to 369,909.75 and 806,841.75 is: 1,759,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,909.75 : 806,841.75 = 806,841.75 : x
  2. Step 2: Convert to fraction form
    369,909.75/806,841.75 = 806,841.75/x
  3. Step 3: Cross multiply
    369,909.75x = 806,841.75 × 806,841.75
  4. Step 4: Simplify right side
    369,909.75x = 650,993,609,543.06
  5. Step 5: Solve for x
    x = 650,993,609,543.06/369,909.75
  6. Step 6: Final answer
    x = 1,759,871.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.