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Finding the Third Proportional to 286,896 and 442,685

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Solution

The third proportional to 286,896 and 442,685 is: 683,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,896 : 442,685 = 442,685 : x
  2. Step 2: Convert to fraction form
    286,896/442,685 = 442,685/x
  3. Step 3: Cross multiply
    286,896x = 442,685 × 442,685
  4. Step 4: Simplify right side
    286,896x = 195,970,009,225
  5. Step 5: Solve for x
    x = 195,970,009,225/286,896
  6. Step 6: Final answer
    x = 683,069.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.