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Finding the Third Proportional to 808.63 and 1,746

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Solution

The third proportional to 808.63 and 1,746 is: 3,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.63 : 1,746 = 1,746 : x
  2. Step 2: Convert to fraction form
    808.63/1,746 = 1,746/x
  3. Step 3: Cross multiply
    808.63x = 1,746 × 1,746
  4. Step 4: Simplify right side
    808.63x = 3,048,516
  5. Step 5: Solve for x
    x = 3,048,516/808.63
  6. Step 6: Final answer
    x = 3,770.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.