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Finding the Third Proportional to 282,605.63 and 609,487.13

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Solution

The third proportional to 282,605.63 and 609,487.13 is: 1,314,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,605.63 : 609,487.13 = 609,487.13 : x
  2. Step 2: Convert to fraction form
    282,605.63/609,487.13 = 609,487.13/x
  3. Step 3: Cross multiply
    282,605.63x = 609,487.13 × 609,487.13
  4. Step 4: Simplify right side
    282,605.63x = 371,474,555,540.77
  5. Step 5: Solve for x
    x = 371,474,555,540.77/282,605.63
  6. Step 6: Final answer
    x = 1,314,462.71

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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.