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Finding the Third Proportional to 282,947.63 and 441,644.06

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Solution

The third proportional to 282,947.63 and 441,644.06 is: 689,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,947.63 : 441,644.06 = 441,644.06 : x
  2. Step 2: Convert to fraction form
    282,947.63/441,644.06 = 441,644.06/x
  3. Step 3: Cross multiply
    282,947.63x = 441,644.06 × 441,644.06
  4. Step 4: Simplify right side
    282,947.63x = 195,049,477,941.50
  5. Step 5: Solve for x
    x = 195,049,477,941.50/282,947.63
  6. Step 6: Final answer
    x = 689,348.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.