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Finding the Third Proportional to 282,516.75 and 609,846.75

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Solution

The third proportional to 282,516.75 and 609,846.75 is: 1,316,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,516.75 : 609,846.75 = 609,846.75 : x
  2. Step 2: Convert to fraction form
    282,516.75/609,846.75 = 609,846.75/x
  3. Step 3: Cross multiply
    282,516.75x = 609,846.75 × 609,846.75
  4. Step 4: Simplify right side
    282,516.75x = 371,913,058,485.56
  5. Step 5: Solve for x
    x = 371,913,058,485.56/282,516.75
  6. Step 6: Final answer
    x = 1,316,428.35

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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.