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Finding the Third Proportional to 286,161.75 and 442,706.06

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Solution

The third proportional to 286,161.75 and 442,706.06 is: 684,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,161.75 : 442,706.06 = 442,706.06 : x
  2. Step 2: Convert to fraction form
    286,161.75/442,706.06 = 442,706.06/x
  3. Step 3: Cross multiply
    286,161.75x = 442,706.06 × 442,706.06
  4. Step 4: Simplify right side
    286,161.75x = 195,988,657,774.25
  5. Step 5: Solve for x
    x = 195,988,657,774.25/286,161.75
  6. Step 6: Final answer
    x = 684,887.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.