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Finding the Third Proportional to 282,362.63 and 550,540.13

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Solution

The third proportional to 282,362.63 and 550,540.13 is: 1,073,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,362.63 : 550,540.13 = 550,540.13 : x
  2. Step 2: Convert to fraction form
    282,362.63/550,540.13 = 550,540.13/x
  3. Step 3: Cross multiply
    282,362.63x = 550,540.13 × 550,540.13
  4. Step 4: Simplify right side
    282,362.63x = 303,094,429,235.02
  5. Step 5: Solve for x
    x = 303,094,429,235.02/282,362.63
  6. Step 6: Final answer
    x = 1,073,422.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.