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Finding the Third Proportional to 282,706.88 and 609,698.25

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Solution

The third proportional to 282,706.88 and 609,698.25 is: 1,314,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,706.88 : 609,698.25 = 609,698.25 : x
  2. Step 2: Convert to fraction form
    282,706.88/609,698.25 = 609,698.25/x
  3. Step 3: Cross multiply
    282,706.88x = 609,698.25 × 609,698.25
  4. Step 4: Simplify right side
    282,706.88x = 371,731,956,053.06
  5. Step 5: Solve for x
    x = 371,731,956,053.06/282,706.88
  6. Step 6: Final answer
    x = 1,314,902.43

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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.